3131653478400 has 864 divisors, whose sum is σ = 11662709320080. Its totient is φ = 802384773120.

The previous prime is 3131653478351. The next prime is 3131653478407. The reversal of 3131653478400 is 48743561313.

3131653478400 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 6 + 534 + 78 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131653478407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1415115694 + ... + 1415117906.

Almost surely, 2^{3131653478400} is an apocalyptic number.

3131653478400 is a gapful number since it is divisible by the number (30) 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 3131653478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831354660040).

3131653478400 is an abundant number, since it is smaller than the sum of its proper divisors (8531055841680).

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

3131653478400 is a wasteful number, since it uses less digits than its factorization.

3131653478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3131653478400 in words is "three trillion, one hundred thirty-one billion, six hundred fifty-three million, four hundred seventy-eight thousand, four hundred".