30983040400 has 135 divisors (see below), whose sum is σ = 80722348041. Its totient is φ = 11422993920.

The previous prime is 30983040397. The next prime is 30983040409. The reversal of 30983040400 is 404038903.

The square root of 30983040400 is 176020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10150159504 + 20832880896 = 100748^2 + 144336^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30983040409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45764862 + ... + 45765538.

Almost surely, 2^30983040400 is an apocalyptic number.

30983040400 is the 176020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30983040400

30983040400 is an abundant number, since it is smaller than the sum of its proper divisors (49739307641).

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

30983040400 is an equidigital number, since it uses as much as digits as its factorization.

30983040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 30983040400 in words is "thirty billion, nine hundred eighty-three million, forty thousand, four hundred".