30940464240 has 800 divisors, whose sum is σ = 130239521280. Its totient is φ = 6657251328.

The previous prime is 30940464239. The next prime is 30940464251. The reversal of 30940464240 is 4246404903.

30940464240 is a `hidden beast` number, since 3 + 0 + 9 + 4 + 0 + 4 + 642 + 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 = 30940464195 and 30940464204.

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 159 ways as a sum of consecutive naturals, for example, 56563647 + ... + 56564193.

Almost surely, 2^30940464240 is an apocalyptic number.

30940464240 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 30940464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65119760640).

30940464240 is an abundant number, since it is smaller than the sum of its proper divisors (99299057040).

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

30940464240 is a wasteful number, since it uses less digits than its factorization.

30940464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 30940464240 in words is "thirty billion, nine hundred forty million, four hundred sixty-four thousand, two hundred forty".