31421311220400 has 120 divisors (see below), whose sum is σ = 103107883371024. Its totient is φ = 8174650060800.

The previous prime is 31421311220389. The next prime is 31421311220449. The reversal of 31421311220400 is 402211312413.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 319273069 + ... + 319371468.

Almost surely, 2^{31421311220400} is an apocalyptic number.

31421311220400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31421311220400 is an abundant number, since it is smaller than the sum of its proper divisors (71686572150624).

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

31421311220400 is a wasteful number, since it uses less digits than its factorization.

31421311220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638644599 (or 638644588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31421311220400 its reverse (402211312413), we get a palindrome (31823522532813).

The spelling of 31421311220400 in words is "thirty-one trillion, four hundred twenty-one billion, three hundred eleven million, two hundred twenty thousand, four hundred".