4013152293888 has 264 divisors, whose sum is σ = 12067530733440. Its totient is φ = 1332100546560.

The previous prime is 4013152293713. The next prime is 4013152293961. The reversal of 4013152293888 is 8883922513104.

4013152293888 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 1 + 522 + 9 + 38 + 88 = 666.

It is a super-2 number, since 2×4013152293888² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59437108 + ... + 59504588.

Almost surely, 2^{4013152293888} is an apocalyptic number.

4013152293888 is a gapful number since it is divisible by the number (48) 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 4013152293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033765366720).

4013152293888 is an abundant number, since it is smaller than the sum of its proper divisors (8054378439552).

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

4013152293888 is an equidigital number, since it uses as much as digits as its factorization.

4013152293888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67755 (or 67725 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4013152293888 in words is "four trillion, thirteen billion, one hundred fifty-two million, two hundred ninety-three thousand, eight hundred eighty-eight".