4013392324320 has 192 divisors, whose sum is σ = 14048033912640. Its totient is φ = 1070149515264.

The previous prime is 4013392324283. The next prime is 4013392324321. The reversal of 4013392324320 is 234232933104.

4013392324320 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 9 + 2 + 324 + 320 = 666.

4013392324320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013392324320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013392324321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64998102 + ... + 65059818.

It is an arithmetic number, because the mean of its divisors is an integer number (73166843295).

Almost surely, 2^{4013392324320} is an apocalyptic number.

4013392324320 is a gapful number since it is divisible by the number (40) 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 4013392324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024016956320).

4013392324320 is an abundant number, since it is smaller than the sum of its proper divisors (10034641588320).

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

4013392324320 is a wasteful number, since it uses less digits than its factorization.

4013392324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76794 (or 76780 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 4013392324320 in words is "four trillion, thirteen billion, three hundred ninety-two million, three hundred twenty-four thousand, three hundred twenty".