930977034240 has 416 divisors, whose sum is σ = 3255317807616. Its totient is φ = 225291796480.

The previous prime is 930977034227. The next prime is 930977034289. The reversal of 930977034240 is 42430779039.

It is a super-3 number, since 3×930977034240³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 930977034240.

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 31 ways as a sum of consecutive naturals, for example, 599469304 + ... + 599470856.

Almost surely, 2^930977034240 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 930977034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627658903808).

930977034240 is an abundant number, since it is smaller than the sum of its proper divisors (2324340773376).

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

930977034240 is a wasteful number, since it uses less digits than its factorization.

930977034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 930977034240 in words is "nine hundred thirty billion, nine hundred seventy-seven million, thirty-four thousand, two hundred forty".