30540993408 has 256 divisors, whose sum is σ = 96605913600. Its totient is φ = 9464537088.

The previous prime is 30540993407. The next prime is 30540993421. The reversal of 30540993408 is 80439904503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30540993407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873285 + ... + 4879547.

It is an arithmetic number, because the mean of its divisors is an integer number (377366850).

Almost surely, 2^30540993408 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 30540993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48302956800).

30540993408 is an abundant number, since it is smaller than the sum of its proper divisors (66064920192).

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

30540993408 is a wasteful number, since it uses less digits than its factorization.

30540993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 30540993408 in words is "thirty billion, five hundred forty million, nine hundred ninety-three thousand, four hundred eight".