30040936640 has 672 divisors, whose sum is σ = 94296073536. Its totient is φ = 8953528320.

The previous prime is 30040936633. The next prime is 30040936649. The reversal of 30040936640 is 4663904003.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30040936640.

It is not an unprimeable number, because it can be changed into a prime (30040936649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411519644 + ... + 411519716.

It is an arithmetic number, because the mean of its divisors is an integer number (140321538).

Almost surely, 2^30040936640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30040936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47148036768).

30040936640 is an abundant number, since it is smaller than the sum of its proper divisors (64255136896).

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

30040936640 is a wasteful number, since it uses less digits than its factorization.

30040936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 30040936640 in words is "thirty billion, forty million, nine hundred thirty-six thousand, six hundred forty".