4013726752368 has 400 divisors, whose sum is σ = 12312171970560. Its totient is φ = 1260286387200.

The previous prime is 4013726752313. The next prime is 4013726752393. The reversal of 4013726752368 is 8632576273104.

It is a happy number.

4013726752368 is a `hidden beast` number, since 4 + 0 + 1 + 37 + 26 + 7 + 523 + 68 = 666.

It is a super-2 number, since 2×4013726752368² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 789013921 + ... + 789019007.

Almost surely, 2^{4013726752368} is an apocalyptic number.

4013726752368 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 4013726752368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156085985280).

4013726752368 is an abundant number, since it is smaller than the sum of its proper divisors (8298445218192).

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

4013726752368 is a wasteful number, since it uses less digits than its factorization.

4013726752368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5658 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4013726752368 in words is "four trillion, thirteen billion, seven hundred twenty-six million, seven hundred fifty-two thousand, three hundred sixty-eight".