40157945200 has 60 divisors (see below), whose sum is σ = 97216074648. Its totient is φ = 15940537600.

The previous prime is 40157945171. The next prime is 40157945203. The reversal of 40157945200 is 254975104.

40157945200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40157945200² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40157945200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157945203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330787 + ... + 435586.

Almost surely, 2^40157945200 is an apocalyptic number.

40157945200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40157945200 is an abundant number, since it is smaller than the sum of its proper divisors (57058129448).

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

40157945200 is a wasteful number, since it uses less digits than its factorization.

40157945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766522 (or 766511 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 40157945200 in words is "forty billion, one hundred fifty-seven million, nine hundred forty-five thousand, two hundred".