31400220112400 has 120 divisors (see below), whose sum is σ = 75620215413120. Its totient is φ = 12529933562880.

The previous prime is 31400220112379. The next prime is 31400220112451. The reversal of 31400220112400 is 421102200413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010320061 + ... + 1010351139.

It is an arithmetic number, because the mean of its divisors is an integer number (630168461776).

Almost surely, 2^{31400220112400} 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 31400220112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810107706560).

31400220112400 is an abundant number, since it is smaller than the sum of its proper divisors (44219995300720).

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

31400220112400 is a wasteful number, since it uses less digits than its factorization.

31400220112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37081 (or 37070 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31400220112400 its reverse (421102200413), we get a palindrome (31821322312813).

The spelling of 31400220112400 in words is "thirty-one trillion, four hundred billion, two hundred twenty million, one hundred twelve thousand, four hundred".