40325168400 has 120 divisors (see below), whose sum is σ = 140918180064. Its totient is φ = 9775795200.

The previous prime is 40325168333. The next prime is 40325168423. The reversal of 40325168400 is 486152304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40325168400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1514269 + ... + 1540668.

Almost surely, 2^40325168400 is an apocalyptic number.

40325168400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40325168400 is an abundant number, since it is smaller than the sum of its proper divisors (100593011664).

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

40325168400 is a wasteful number, since it uses less digits than its factorization.

40325168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054969 (or 3054958 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 40325168400 in words is "forty billion, three hundred twenty-five million, one hundred sixty-eight thousand, four hundred".