940557300480 has 1296 divisors, whose sum is σ = 3932568843840. Its totient is φ = 203232706560.

The previous prime is 940557300461. The next prime is 940557300503. The reversal of 940557300480 is 84003755049.

940557300480 is a `hidden beast` number, since 94 + 0 + 5 + 57 + 30 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4107237006 + ... + 4107237234.

It is an arithmetic number, because the mean of its divisors is an integer number (3034389540).

Almost surely, 2^940557300480 is an apocalyptic number.

940557300480 is a gapful number since it is divisible by the number (90) 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 940557300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966284421920).

940557300480 is an abundant number, since it is smaller than the sum of its proper divisors (2992011543360).

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

940557300480 is a wasteful number, since it uses less digits than its factorization.

940557300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 940557300480 in words is "nine hundred forty billion, five hundred fifty-seven million, three hundred thousand, four hundred eighty".