30232931040 has 576 divisors, whose sum is σ = 116766074880. Its totient is φ = 7071805440.

The previous prime is 30232931011. The next prime is 30232931063. The reversal of 30232931040 is 4013923203.

It is a happy number.

30232931040 is a `hidden beast` number, since 302 + 3 + 2 + 9 + 310 + 40 = 666.

It is a super-3 number, since 3×30232931040³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30232930995 and 30232931013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34238439 + ... + 34239321.

It is an arithmetic number, because the mean of its divisors is an integer number (202718880).

Almost surely, 2^30232931040 is an apocalyptic number.

30232931040 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 30232931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58383037440).

30232931040 is an abundant number, since it is smaller than the sum of its proper divisors (86533143840).

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

30232931040 is a wasteful number, since it uses less digits than its factorization.

30232931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 30232931040 in words is "thirty billion, two hundred thirty-two million, nine hundred thirty-one thousand, forty".