966129459840 has 192 divisors, whose sum is σ = 3451206587400. Its totient is φ = 248750530560.

The previous prime is 966129459833. The next prime is 966129459899. The reversal of 966129459840 is 48954921669.

966129459840 is a `hidden beast` number, since 9 + 6 + 612 + 9 + 4 + 5 + 9 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 434618473536 + 531510986304 = 659256^2 + 729048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×966129459840² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724871 + ... + 3058950.

Almost surely, 2^966129459840 is an apocalyptic number.

966129459840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966129459840 is an abundant number, since it is smaller than the sum of its proper divisors (2485077127560).

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

966129459840 is a wasteful number, since it uses less digits than its factorization.

966129459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783875 (or 5783860 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 966129459840 in words is "nine hundred sixty-six billion, one hundred twenty-nine million, four hundred fifty-nine thousand, eight hundred forty".