40128729352800 has 144 divisors (see below), whose sum is σ = 142493469959232. Its totient is φ = 9728176806400.

The previous prime is 40128729352793. The next prime is 40128729352853. The reversal of 40128729352800 is 825392782104.

It is a super-2 number, since 2×40128729352800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759987414 + ... + 760040213.

It is an arithmetic number, because the mean of its divisors is an integer number (989537985828).

Almost surely, 2^{40128729352800} is an apocalyptic number.

40128729352800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40128729352800 is an abundant number, since it is smaller than the sum of its proper divisors (102364740606432).

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

40128729352800 is a wasteful number, since it uses less digits than its factorization.

40128729352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520027661 (or 1520027648 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 40128729352800 in words is "forty trillion, one hundred twenty-eight billion, seven hundred twenty-nine million, three hundred fifty-two thousand, eight hundred".