30923933440 has 144 divisors (see below), whose sum is σ = 76668641280. Its totient is φ = 11938222080.

The previous prime is 30923933437. The next prime is 30923933461. The reversal of 30923933440 is 4433932903.

It is a super-3 number, since 3×30923933440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 30923933393 and 30923933402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19005907 + ... + 19007533.

It is an arithmetic number, because the mean of its divisors is an integer number (532421120).

Almost surely, 2^30923933440 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 30923933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38334320640).

30923933440 is an abundant number, since it is smaller than the sum of its proper divisors (45744707840).

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

30923933440 is a wasteful number, since it uses less digits than its factorization.

30923933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 40.

The spelling of 30923933440 in words is "thirty billion, nine hundred twenty-three million, nine hundred thirty-three thousand, four hundred forty".