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40341420288 = 2832131638263
BaseRepresentation
bin100101100100100010…
…010011100100000000
310212010110111111002100
4211210202103210000
51130104400422123
630311012350400
72625461262141
oct454442234400
9125113444070
1040341420288
1116121753174
12799a315400
133a5ba234c0
141d49a83ac8
1510b1978643
hex964893900

40341420288 has 216 divisors, whose sum is σ = 126045238592. Its totient is φ = 12335099904.

The previous prime is 40341420283. The next prime is 40341420313. The reversal of 40341420288 is 88202414304.

40341420288 is a `hidden beast` number, since 403 + 41 + 4 + 202 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40341420281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4878045 + ... + 4886307.

Almost surely, 240341420288 is an apocalyptic number.

40341420288 is a gapful number since it is divisible by the number (48) 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 40341420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63022619296).

40341420288 is an abundant number, since it is smaller than the sum of its proper divisors (85703818304).

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

40341420288 is a wasteful number, since it uses less digits than its factorization.

40341420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 40341420288 in words is "forty billion, three hundred forty-one million, four hundred twenty thousand, two hundred eighty-eight".