966124938240 has 2816 divisors, whose sum is σ = 4787975577600. Its totient is φ = 178362777600.

The previous prime is 966124938179. The next prime is 966124938281. The reversal of 966124938240 is 42839421669.

966124938240 is a `hidden beast` number, since 9 + 66 + 12 + 493 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 3438166900 + ... + 3438167180.

Almost surely, 2^966124938240 is an apocalyptic number.

966124938240 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 966124938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393987788800).

966124938240 is an abundant number, since it is smaller than the sum of its proper divisors (3821850639360).

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

966124938240 is a wasteful number, since it uses less digits than its factorization.

966124938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 966124938240 in words is "nine hundred sixty-six billion, one hundred twenty-four million, nine hundred thirty-eight thousand, two hundred forty".