164402040096 has 480 divisors, whose sum is σ = 584392596480. Its totient is φ = 44341862400.

The previous prime is 164402040059. The next prime is 164402040139. The reversal of 164402040096 is 690040204461.

164402040096 is a `hidden beast` number, since 1 + 6 + 440 + 204 + 0 + 0 + 9 + 6 = 666.

It is a super-3 number, since 3×164402040096³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 164402040096.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23057460 + ... + 23064588.

It is an arithmetic number, because the mean of its divisors is an integer number (1217484576).

Almost surely, 2^164402040096 is an apocalyptic number.

164402040096 is a gapful number since it is divisible by the number (16) 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 164402040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292196298240).

164402040096 is an abundant number, since it is smaller than the sum of its proper divisors (419990556384).

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

164402040096 is a wasteful number, since it uses less digits than its factorization.

164402040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 164402040096 in words is "one hundred sixty-four billion, four hundred two million, forty thousand, ninety-six".