40235021645256 has 192 divisors, whose sum is σ = 110739089260800. Its totient is φ = 13194884634624.

The previous prime is 40235021645179. The next prime is 40235021645263. The reversal of 40235021645256 is 65254612053204.

40235021645256 is a `hidden beast` number, since 4 + 0 + 2 + 350 + 2 + 1 + 6 + 45 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3695009860 + ... + 3695020748.

It is an arithmetic number, because the mean of its divisors is an integer number (576766089900).

Almost surely, 2^{40235021645256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40235021645256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55369544630400).

40235021645256 is an abundant number, since it is smaller than the sum of its proper divisors (70504067615544).

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

40235021645256 is a wasteful number, since it uses less digits than its factorization.

40235021645256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12668 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 40235021645256 in words is "forty trillion, two hundred thirty-five billion, twenty-one million, six hundred forty-five thousand, two hundred fifty-six".