40372172174400 has 336 divisors, whose sum is σ = 144717077746368. Its totient is φ = 9772196864000.

The previous prime is 40372172174377. The next prime is 40372172174401. The reversal of 40372172174400 is 447127127304.

40372172174400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40372172174401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33892930 + ... + 35063870.

Almost surely, 2^{40372172174400} is an apocalyptic number.

40372172174400 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 40372172174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72358538873184).

40372172174400 is an abundant number, since it is smaller than the sum of its proper divisors (104344905571968).

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

40372172174400 is a wasteful number, since it uses less digits than its factorization.

40372172174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171630 (or 1171615 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 40372172174400 in words is "forty trillion, three hundred seventy-two billion, one hundred seventy-two million, one hundred seventy-four thousand, four hundred".