40400441432100 has 216 divisors, whose sum is σ = 127187206997760. Its totient is φ = 10726313472000.

The previous prime is 40400441432081. The next prime is 40400441432119. The reversal of 40400441432100 is 123414400404.

40400441432100 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 0 + 441 + 4 + 3 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40400441432081) and next prime (40400441432119).

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, 1357481220 + ... + 1357510980.

Almost surely, 2^{40400441432100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40400441432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63593603498880).

40400441432100 is an abundant number, since it is smaller than the sum of its proper divisors (86786765565660).

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

40400441432100 is a wasteful number, since it uses less digits than its factorization.

40400441432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36331 (or 36321 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40400441432100 its reverse (123414400404), we get a palindrome (40523855832504).

The spelling of 40400441432100 in words is "forty trillion, four hundred billion, four hundred forty-one million, four hundred thirty-two thousand, one hundred".