40451724478100 has 72 divisors (see below), whose sum is σ = 94590890800728. Its totient is φ = 14926806489600.

The previous prime is 40451724478097. The next prime is 40451724478103. The reversal of 40451724478100 is 187442715404.

It is an interprime number because it is at equal distance from previous prime (40451724478097) and next prime (40451724478103).

It can be written as a sum of positive squares in 12 ways, for example, as 13940470885636 + 26511253592464 = 3733694^2 + 5148908^2 .

It is a super-2 number, since 2×40451724478100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40451724478103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7490699 + ... + 11705298.

Almost surely, 2^{40451724478100} is an apocalyptic number.

It is an amenable number.

40451724478100 is an abundant number, since it is smaller than the sum of its proper divisors (54139166322628).

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

40451724478100 is a wasteful number, since it uses less digits than its factorization.

40451724478100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19197645 (or 19197638 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 40451724478100 in words is "forty trillion, four hundred fifty-one billion, seven hundred twenty-four million, four hundred seventy-eight thousand, one hundred".