40202204256 has 192 divisors, whose sum is σ = 120081346560. Its totient is φ = 13079485440.

The previous prime is 40202204243. The next prime is 40202204261. The reversal of 40202204256 is 65240220204.

It is a happy number.

40202204256 is a `hidden beast` number, since 4 + 0 + 202 + 204 + 256 = 666.

It is a super-2 number, since 2×40202204256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17500900 + ... + 17503196.

It is an arithmetic number, because the mean of its divisors is an integer number (625423680).

Almost surely, 2^40202204256 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 40202204256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60040673280).

40202204256 is an abundant number, since it is smaller than the sum of its proper divisors (79879142304).

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

40202204256 is a wasteful number, since it uses less digits than its factorization.

40202204256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 40202204256 in words is "forty billion, two hundred two million, two hundred four thousand, two hundred fifty-six".