31225550400 has 378 divisors, whose sum is σ = 121996362306. Its totient is φ = 7569408000.

The previous prime is 31225550383. The next prime is 31225550417. The reversal of 31225550400 is 405552213.

It is a happy number.

31225550400 is a `hidden beast` number, since 3 + 1 + 2 + 255 + 5 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (31225550383) and next prime (31225550417).

It can be written as a sum of positive squares in 3 ways, for example, as 218566656 + 31006983744 = 14784^2 + 176088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1733440 + ... + 1751360.

Almost surely, 2^31225550400 is an apocalyptic number.

31225550400 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 31225550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60998181153).

31225550400 is an abundant number, since it is smaller than the sum of its proper divisors (90770811906).

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

31225550400 is a wasteful number, since it uses less digits than its factorization.

31225550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17971 (or 17942 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 31225550400 in words is "thirty-one billion, two hundred twenty-five million, five hundred fifty thousand, four hundred".