40626256320 has 336 divisors, whose sum is σ = 156063878880. Its totient is φ = 10000060416.

The previous prime is 40626256313. The next prime is 40626256343. The reversal of 40626256320 is 2365262604.

40626256320 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 625 + 6 + 3 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 990786 + ... + 1030974.

It is an arithmetic number, because the mean of its divisors is an integer number (464475830).

Almost surely, 2^40626256320 is an apocalyptic number.

40626256320 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 40626256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78031939440).

40626256320 is an abundant number, since it is smaller than the sum of its proper divisors (115437622560).

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

40626256320 is a wasteful number, since it uses less digits than its factorization.

40626256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40234 (or 40212 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40626256320 in words is "forty billion, six hundred twenty-six million, two hundred fifty-six thousand, three hundred twenty".