164413234440840 has 128 divisors (see below), whose sum is σ = 614948201579520. Its totient is φ = 34163788972800.

The previous prime is 164413234440803. The next prime is 164413234440877. The reversal of 164413234440840 is 48044432314461.

It is an interprime number because it is at equal distance from previous prime (164413234440803) and next prime (164413234440877).

It is a super-3 number, since 3×164413234440840³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164413234440840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8896810806 + ... + 8896829285.

It is an arithmetic number, because the mean of its divisors is an integer number (4804282824840).

Almost surely, 2^{164413234440840} is an apocalyptic number.

164413234440840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164413234440840 is an abundant number, since it is smaller than the sum of its proper divisors (450534967138680).

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

164413234440840 is a wasteful number, since it uses less digits than its factorization.

164413234440840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17793640123 (or 17793640119 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 48.

The spelling of 164413234440840 in words is "one hundred sixty-four trillion, four hundred thirteen billion, two hundred thirty-four million, four hundred forty thousand, eight hundred forty".