966292601040 has 240 divisors, whose sum is σ = 3495456776448. Its totient is φ = 237809101824.

The previous prime is 966292601039. The next prime is 966292601041. The reversal of 966292601040 is 40106292669.

966292601040 is a `hidden beast` number, since 9 + 6 + 629 + 2 + 6 + 0 + 10 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (966292601039) and next prime (966292601041).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966292601041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79806667 + ... + 79818773.

Almost surely, 2^966292601040 is an apocalyptic number.

966292601040 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 966292601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747728388224).

966292601040 is an abundant number, since it is smaller than the sum of its proper divisors (2529164175408).

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

966292601040 is a wasteful number, since it uses less digits than its factorization.

966292601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 966292601040 in words is "nine hundred sixty-six billion, two hundred ninety-two million, six hundred one thousand, forty".