31442718400 has 168 divisors, whose sum is σ = 80771680976. Its totient is φ = 12035174400.

The previous prime is 31442718397. The next prime is 31442718403. The reversal of 31442718400 is 481724413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31442718397) and next prime (31442718403).

It is not an unprimeable number, because it can be changed into a prime (31442718403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3606847 + ... + 3615553.

Almost surely, 2^31442718400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40385840488).

31442718400 is an abundant number, since it is smaller than the sum of its proper divisors (49328962576).

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

31442718400 is a wasteful number, since it uses less digits than its factorization.

31442718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 31442718400 in words is "thirty-one billion, four hundred forty-two million, seven hundred eighteen thousand, four hundred".