30040979474400 has 288 divisors, whose sum is σ = 98017788960000. Its totient is φ = 7991744716800.

The previous prime is 30040979474371. The next prime is 30040979474423. The reversal of 30040979474400 is 447497904003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200958776 + ... + 2200972424.

It is an arithmetic number, because the mean of its divisors is an integer number (340339545000).

Almost surely, 2^{30040979474400} is an apocalyptic number.

30040979474400 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 30040979474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008894480000).

30040979474400 is an abundant number, since it is smaller than the sum of its proper divisors (67976809485600).

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

30040979474400 is a wasteful number, since it uses less digits than its factorization.

30040979474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15802 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 30040979474400 in words is "thirty trillion, forty billion, nine hundred seventy-nine million, four hundred seventy-four thousand, four hundred".