30842604066400 has 72 divisors (see below), whose sum is σ = 86050865360880. Its totient is φ = 10574607106560.

The previous prime is 30842604066349. The next prime is 30842604066427. The reversal of 30842604066400 is 466040624803.

It is a super-3 number, since 3×30842604066400³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2753798335 + ... + 2753809534.

It is an arithmetic number, because the mean of its divisors is an integer number (1195150907790).

Almost surely, 2^{30842604066400} is an apocalyptic number.

It is an amenable number.

30842604066400 is an abundant number, since it is smaller than the sum of its proper divisors (55208261294480).

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

30842604066400 is a wasteful number, since it uses less digits than its factorization.

30842604066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507607896 (or 5507607883 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 30842604066400 in words is "thirty trillion, eight hundred forty-two billion, six hundred four million, sixty-six thousand, four hundred".