31012330430400 has 672 divisors, whose sum is σ = 117693300360960. Its totient is φ = 7065772032000.

The previous prime is 31012330430399. The next prime is 31012330430401. The reversal of 31012330430400 is 403403321013.

It is an interprime number because it is at equal distance from previous prime (31012330430399) and next prime (31012330430401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012330430401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 636374035 + ... + 636422765.

Almost surely, 2^{31012330430400} is an apocalyptic number.

31012330430400 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 31012330430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58846650180480).

31012330430400 is an abundant number, since it is smaller than the sum of its proper divisors (86680969930560).

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

31012330430400 is a wasteful number, since it uses less digits than its factorization.

31012330430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49493 (or 49478 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31012330430400 its reverse (403403321013), we get a palindrome (31415733751413).

The spelling of 31012330430400 in words is "thirty-one trillion, twelve billion, three hundred thirty million, four hundred thirty thousand, four hundred".