31448768400 has 1260 divisors, whose sum is σ = 137943385344. Its totient is φ = 6858432000.

The previous prime is 31448768383. The next prime is 31448768413. The reversal of 31448768400 is 486784413.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 442940365 + ... + 442940435.

Almost surely, 2^31448768400 is an apocalyptic number.

31448768400 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 31448768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68971692672).

31448768400 is an abundant number, since it is smaller than the sum of its proper divisors (106494616944).

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

31448768400 is a wasteful number, since it uses less digits than its factorization.

31448768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 31448768400 in words is "thirty-one billion, four hundred forty-eight million, seven hundred sixty-eight thousand, four hundred".