40124166035400 has 144 divisors (see below), whose sum is σ = 134752800464100. Its totient is φ = 10699580989440.

The previous prime is 40124166035381. The next prime is 40124166035411. The reversal of 40124166035400 is 453066142104.

40124166035400 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 4 + 1 + 6 + 603 + 5 + 40 + 0 = 666.

40124166035400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9983868395076 + 30140297640324 = 3159726^2 + 5490018^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116123692 + ... + 116468708.

Almost surely, 2^{40124166035400} is an apocalyptic number.

40124166035400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40124166035400 is an abundant number, since it is smaller than the sum of its proper divisors (94628634428700).

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

40124166035400 is a wasteful number, since it uses less digits than its factorization.

40124166035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409648 (or 409636 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40124166035400 in words is "forty trillion, one hundred twenty-four billion, one hundred sixty-six million, thirty-five thousand, four hundred".