40172334043400 has 288 divisors, whose sum is σ = 102610683176760. Its totient is φ = 14617227755520.

The previous prime is 40172334043381. The next prime is 40172334043487. The reversal of 40172334043400 is 434043327104.

It can be written as a sum of positive squares in 36 ways, for example, as 1025063102116 + 39147270941284 = 1012454^2 + 6256778^2 .

It is a super-2 number, since 2×40172334043400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3200211524 + ... + 3200224076.

Almost surely, 2^{40172334043400} is an apocalyptic number.

40172334043400 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 40172334043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51305341588380).

40172334043400 is an abundant number, since it is smaller than the sum of its proper divisors (62438349133360).

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

40172334043400 is a wasteful number, since it uses less digits than its factorization.

40172334043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 40172334043400 in words is "forty trillion, one hundred seventy-two billion, three hundred thirty-four million, forty-three thousand, four hundred".