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40040222211000 = 2336531114993331
BaseRepresentation
bin10010001101010100101110…
…01110001011101110111000
312020202210210221010001000000
421012222113032023232320
520222004333341223000
6221054120225513000
711301545014150014
oct1106522716135670
9166683727101000
1040040222211000
1111837a65656570
1245a80914a2760
131945a136acc0b
149c5d583ab544
15496810e99000
hex246a9738bbb8

40040222211000 has 896 divisors, whose sum is σ = 153395817120000. Its totient is φ = 9697332960000.

The previous prime is 40040222210987. The next prime is 40040222211023. The reversal of 40040222211000 is 11222204004.

40040222211000 is a `hidden beast` number, since 40 + 0 + 402 + 2 + 221 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12020479335 + ... + 12020482665.

It is an arithmetic number, because the mean of its divisors is an integer number (171200688750).

Almost surely, 240040222211000 is an apocalyptic number.

40040222211000 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 40040222211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76697908560000).

40040222211000 is an abundant number, since it is smaller than the sum of its proper divisors (113355594909000).

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

40040222211000 is a wasteful number, since it uses less digits than its factorization.

40040222211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40040222211000 its reverse (11222204004), we get a palindrome (40051444415004).

The spelling of 40040222211000 in words is "forty trillion, forty billion, two hundred twenty-two million, two hundred eleven thousand".