30779415040 has 320 divisors, whose sum is σ = 84194111232. Its totient is φ = 10692198400.

The previous prime is 30779415019. The next prime is 30779415041. The reversal of 30779415040 is 4051497703.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 30779414984 and 30779415002.

It is not an unprimeable number, because it can be changed into a prime (30779415041) by changing a digit.

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, 61191429 + ... + 61191931.

Almost surely, 2^30779415040 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 30779415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42097055616).

30779415040 is an abundant number, since it is smaller than the sum of its proper divisors (53414696192).

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

30779415040 is a wasteful number, since it uses less digits than its factorization.

30779415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 30779415040 in words is "thirty billion, seven hundred seventy-nine million, four hundred fifteen thousand, forty".