8730631400400 has 1440 divisors, whose sum is σ = 37759802662400. Its totient is φ = 1819001733120.

The previous prime is 8730631400389. The next prime is 8730631400417. The reversal of 8730631400400 is 40041360378.

8730631400400 is a `hidden beast` number, since 87 + 30 + 6 + 3 + 140 + 0 + 400 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 10235206374 + ... + 10235207226.

Almost surely, 2^{8730631400400} is an apocalyptic number.

8730631400400 is a gapful number since it is divisible by the number (80) 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 8730631400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879901331200).

8730631400400 is an abundant number, since it is smaller than the sum of its proper divisors (29029171262000).

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

8730631400400 is a wasteful number, since it uses less digits than its factorization.

8730631400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 8730631400400 its reverse (40041360378), we get a palindrome (8770672760778).

The spelling of 8730631400400 in words is "eight trillion, seven hundred thirty billion, six hundred thirty-one million, four hundred thousand, four hundred".