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4021232213040 = 2435729833173137
BaseRepresentation
bin111010100001000100000…
…111100001110000110000
3112020102111120211212200220
4322201010013201300300
51011340440421304130
612315154550013040
7563344611561630
oct72410407416060
915212446755626
104021232213040
111310438829579
1254b412647180
1323227b865bc3
14dc8b313c6c0
156e904ec6410
hex3a8441e1c30

4021232213040 has 640 divisors, whose sum is σ = 14967302031360. Its totient is φ = 873707864064.

The previous prime is 4021232213003. The next prime is 4021232213077. The reversal of 4021232213040 is 403122321204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4021232213003) and next prime (4021232213077).

It is a super-2 number, since 2×40212322130402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4021232213040.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1281870352 + ... + 1281873488.

It is an arithmetic number, because the mean of its divisors is an integer number (23386409424).

Almost surely, 24021232213040 is an apocalyptic number.

4021232213040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021232213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483651015680).

4021232213040 is an abundant number, since it is smaller than the sum of its proper divisors (10946069818320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4021232213040 is a wasteful number, since it uses less digits than its factorization.

4021232213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4021232213040 its reverse (403122321204), we get a palindrome (4424354534244).

The spelling of 4021232213040 in words is "four trillion, twenty-one billion, two hundred thirty-two million, two hundred thirteen thousand, forty".