30777215440 has 80 divisors (see below), whose sum is σ = 72230019840. Its totient is φ = 12195653120.

The previous prime is 30777215411. The next prime is 30777215449. The reversal of 30777215440 is 4451277703.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 30777215393 and 30777215402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30777215449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762555 + ... + 3770725.

It is an arithmetic number, because the mean of its divisors is an integer number (902875248).

Almost surely, 2^30777215440 is an apocalyptic number.

It is an amenable number.

30777215440 is an abundant number, since it is smaller than the sum of its proper divisors (41452804400).

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

30777215440 is a wasteful number, since it uses less digits than its factorization.

30777215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 30777215440 in words is "thirty billion, seven hundred seventy-seven million, two hundred fifteen thousand, four hundred forty".