40643957554128 has 80 divisors (see below), whose sum is σ = 117818292926400. Its totient is φ = 13413847363200.

The previous prime is 40643957554019. The next prime is 40643957554129. The reversal of 40643957554128 is 82145575934604.

It is a happy number.

40643957554128 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 3 + 9 + 57 + 554 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40643957554129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465714958 + ... + 465802221.

It is an arithmetic number, because the mean of its divisors is an integer number (1472728661580).

It is a 1-persistent number, because it is pandigital, but 2⋅40643957554128 = 81287915108256 is not.

Almost surely, 2^{40643957554128} is an apocalyptic number.

40643957554128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40643957554128 is an abundant number, since it is smaller than the sum of its proper divisors (77174335372272).

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

40643957554128 is a wasteful number, since it uses less digits than its factorization.

40643957554128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931517297 (or 931517285 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 40643957554128 in words is "forty trillion, six hundred forty-three billion, nine hundred fifty-seven million, five hundred fifty-four thousand, one hundred twenty-eight".