40844840000400 has 180 divisors, whose sum is σ = 142462450376532. Its totient is φ = 10836668021760.

The previous prime is 40844840000389. The next prime is 40844840000441. The reversal of 40844840000400 is 400004844804.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2733083465616 + 38111756534784 = 1653204^2 + 6173472^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28087219 + ... + 29505618.

Almost surely, 2^{40844840000400} is an apocalyptic number.

40844840000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40844840000400 is an abundant number, since it is smaller than the sum of its proper divisors (101617610376132).

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

40844840000400 is a wasteful number, since it uses less digits than its factorization.

40844840000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57593058 (or 57593044 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40844840000400 in words is "forty trillion, eight hundred forty-four billion, eight hundred forty million, four hundred", and thus it is an aban number.