966920941440 has 512 divisors, whose sum is σ = 3461949849600. Its totient is φ = 255040192512.

The previous prime is 966920941411. The next prime is 966920941457. The reversal of 966920941440 is 44149029669.

It is a happy number.

966920941440 is a `hidden beast` number, since 96 + 6 + 9 + 20 + 94 + 1 + 440 = 666.

It is a super-2 number, since 2×966920941440² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301373709 + ... + 1301374451.

It is an arithmetic number, because the mean of its divisors is an integer number (6761620800).

Almost surely, 2^966920941440 is an apocalyptic number.

966920941440 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 966920941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730974924800).

966920941440 is an abundant number, since it is smaller than the sum of its proper divisors (2495028908160).

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

966920941440 is a wasteful number, since it uses less digits than its factorization.

966920941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 966920941440 in words is "nine hundred sixty-six billion, nine hundred twenty million, nine hundred forty-one thousand, four hundred forty".