31368422400 has 1056 divisors, whose sum is σ = 129635036160. Its totient is φ = 6529351680.

The previous prime is 31368422377. The next prime is 31368422411. The reversal of 31368422400 is 422486313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377932759 + ... + 377932841.

Almost surely, 2^31368422400 is an apocalyptic number.

31368422400 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 31368422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817518080).

31368422400 is an abundant number, since it is smaller than the sum of its proper divisors (98266613760).

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

31368422400 is a wasteful number, since it uses less digits than its factorization.

31368422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 31368422400 in words is "thirty-one billion, three hundred sixty-eight million, four hundred twenty-two thousand, four hundred".