30331900040 has 128 divisors (see below), whose sum is σ = 76324399200. Its totient is φ = 10776084480.

The previous prime is 30331900033. The next prime is 30331900061. The reversal of 30331900040 is 4000913303.

It can be written as a sum of positive squares in 16 ways, for example, as 5702364196 + 24629535844 = 75514^2 + 156938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30331899979 and 30331900015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546616 + ... + 1566104.

Almost surely, 2^30331900040 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 30331900040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38162199600).

30331900040 is an abundant number, since it is smaller than the sum of its proper divisors (45992499160).

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

30331900040 is a wasteful number, since it uses less digits than its factorization.

30331900040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627 (or 19623 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The spelling of 30331900040 in words is "thirty billion, three hundred thirty-one million, nine hundred thousand, forty".