30479293440 has 352 divisors, whose sum is σ = 109482730560. Its totient is φ = 8040480768.

The previous prime is 30479293417. The next prime is 30479293459. The reversal of 30479293440 is 4439297403.

30479293440 is a `hidden beast` number, since 30 + 4 + 7 + 92 + 93 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13408144 + ... + 13410416.

Almost surely, 2^30479293440 is an apocalyptic number.

30479293440 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 30479293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54741365280).

30479293440 is an abundant number, since it is smaller than the sum of its proper divisors (79003437120).

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

30479293440 is a wasteful number, since it uses less digits than its factorization.

30479293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 30479293440 in words is "thirty billion, four hundred seventy-nine million, two hundred ninety-three thousand, four hundred forty".