30400645402440 has 64 divisors (see below), whose sum is σ = 101335484678400. Its totient is φ = 8106838773696.

The previous prime is 30400645402429. The next prime is 30400645402459. The reversal of 30400645402440 is 4420454600403.

30400645402440 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 0 + 645 + 4 + 0 + 2 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30400645402395 and 30400645402404.

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, 14074371792 + ... + 14074373951.

It is an arithmetic number, because the mean of its divisors is an integer number (1583366948100).

Almost surely, 2^{30400645402440} is an apocalyptic number.

30400645402440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30400645402440 is an abundant number, since it is smaller than the sum of its proper divisors (70934839275960).

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

30400645402440 is a wasteful number, since it uses less digits than its factorization.

30400645402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28148745763 (or 28148745753 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 30400645402440 in words is "thirty trillion, four hundred billion, six hundred forty-five million, four hundred two thousand, four hundred forty".