31220440010400 has 288 divisors, whose sum is σ = 107608115139840. Its totient is φ = 7835151237120.

The previous prime is 31220440010381. The next prime is 31220440010407. The reversal of 31220440010400 is 401004402213.

It is not an unprimeable number, because it can be changed into a prime (31220440010407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081063161 + ... + 1081092039.

It is an arithmetic number, because the mean of its divisors is an integer number (373639288680).

Almost surely, 2^{31220440010400} is an apocalyptic number.

31220440010400 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 31220440010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53804057569920).

31220440010400 is an abundant number, since it is smaller than the sum of its proper divisors (76387675129440).

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

31220440010400 is a wasteful number, since it uses less digits than its factorization.

31220440010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55416 (or 55403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 31220440010400 its reverse (401004402213), we get a palindrome (31621444412613).

The spelling of 31220440010400 in words is "thirty-one trillion, two hundred twenty billion, four hundred forty million, ten thousand, four hundred".