30040670880 has 288 divisors, whose sum is σ = 115976847168. Its totient is φ = 7282483200.

The previous prime is 30040670843. The next prime is 30040670923. The reversal of 30040670880 is 8807604003.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392560 + ... + 462800.

It is an arithmetic number, because the mean of its divisors is an integer number (402697386).

Almost surely, 2^30040670880 is an apocalyptic number.

30040670880 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 30040670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57988423584).

30040670880 is an abundant number, since it is smaller than the sum of its proper divisors (85936176288).

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

30040670880 is a wasteful number, since it uses less digits than its factorization.

30040670880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70282 (or 70262 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 30040670880 in words is "thirty billion, forty million, six hundred seventy thousand, eight hundred eighty".