966343271040 has 2048 divisors, whose sum is σ = 4335897600000. Its totient is φ = 200908947456.

The previous prime is 966343271039. The next prime is 966343271053. The reversal of 966343271040 is 40172343669.

966343271040 is a `hidden beast` number, since 9 + 6 + 634 + 3 + 2 + 7 + 1 + 0 + 4 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 5398565671 + ... + 5398565849.

It is an arithmetic number, because the mean of its divisors is an integer number (2117137500).

Almost surely, 2^966343271040 is an apocalyptic number.

966343271040 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 966343271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167948800000).

966343271040 is an abundant number, since it is smaller than the sum of its proper divisors (3369554328960).

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

966343271040 is a wasteful number, since it uses less digits than its factorization.

966343271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 966343271040 in words is "nine hundred sixty-six billion, three hundred forty-three million, two hundred seventy-one thousand, forty".