4032079326144 has 336 divisors, whose sum is σ = 13062587316480. Its totient is φ = 1181506314240.

The previous prime is 4032079326139. The next prime is 4032079326179. The reversal of 4032079326144 is 4416239702304.

4032079326144 is a `hidden beast` number, since 4 + 0 + 3 + 20 + 7 + 9 + 3 + 2 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4032079326144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13056787 + ... + 13362029.

Almost surely, 2^{4032079326144} 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 4032079326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531293658240).

4032079326144 is an abundant number, since it is smaller than the sum of its proper divisors (9030507990336).

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

4032079326144 is a wasteful number, since it uses less digits than its factorization.

4032079326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305368 (or 305355 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4032079326144 in words is "four trillion, thirty-two billion, seventy-nine million, three hundred twenty-six thousand, one hundred forty-four".