30882902294400 has 384 divisors, whose sum is σ = 109645022269440. Its totient is φ = 7595019264000.

The previous prime is 30882902294381. The next prime is 30882902294411. The reversal of 30882902294400 is 449220928803.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137542225 + ... + 137766575.

It is an arithmetic number, because the mean of its divisors is an integer number (285533912160).

Almost surely, 2^{30882902294400} is an apocalyptic number.

30882902294400 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 30882902294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54822511134720).

30882902294400 is an abundant number, since it is smaller than the sum of its proper divisors (78762119975040).

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

30882902294400 is a wasteful number, since it uses less digits than its factorization.

30882902294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225494 (or 225477 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 30882902294400 in words is "thirty trillion, eight hundred eighty-two billion, nine hundred two million, two hundred ninety-four thousand, four hundred".