329040273408 has 896 divisors, whose sum is σ = 1159570391040. Its totient is φ = 80510976000.

The previous prime is 329040273323. The next prime is 329040273437. The reversal of 329040273408 is 804372040923.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×329040273408² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 329040273408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4165066713 + ... + 4165066791.

Almost surely, 2^329040273408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329040273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579785195520).

329040273408 is an abundant number, since it is smaller than the sum of its proper divisors (830530117632).

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

329040273408 is a wasteful number, since it uses less digits than its factorization.

329040273408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 329040273408 in words is "three hundred twenty-nine billion, forty million, two hundred seventy-three thousand, four hundred eight".