4079324401152 has 960 divisors, whose sum is σ = 14796328402944. Its totient is φ = 969754705920.

The previous prime is 4079324401129. The next prime is 4079324401177. The reversal of 4079324401152 is 2511044239704.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2538471133 + ... + 2538472739.

Almost surely, 2^{4079324401152} is an apocalyptic number.

4079324401152 is a gapful number since it is divisible by the number (42) 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 4079324401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398164201472).

4079324401152 is an abundant number, since it is smaller than the sum of its proper divisors (10717004001792).

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

4079324401152 is a wasteful number, since it uses less digits than its factorization.

4079324401152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

It can be divided in two parts, 407932 and 4401152, that added together give a palindrome (4809084).

The spelling of 4079324401152 in words is "four trillion, seventy-nine billion, three hundred twenty-four million, four hundred one thousand, one hundred fifty-two".