940232966400 has 2160 divisors, whose sum is σ = 4508221872000. Its totient is φ = 187758673920.

The previous prime is 940232966371. The next prime is 940232966443. The reversal of 940232966400 is 4669232049.

940232966400 is a `hidden beast` number, since 9 + 4 + 0 + 232 + 9 + 6 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×940232966400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 239 ways as a sum of consecutive naturals, for example, 896313076 + ... + 896314124.

Almost surely, 2^940232966400 is an apocalyptic number.

940232966400 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 940232966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254110936000).

940232966400 is an abundant number, since it is smaller than the sum of its proper divisors (3567988905600).

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

940232966400 is a wasteful number, since it uses less digits than its factorization.

940232966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 940232966400 in words is "nine hundred forty billion, two hundred thirty-two million, nine hundred sixty-six thousand, four hundred".