4001504141376 has 637 divisors, whose sum is σ = 13895822776879. Its totient is φ = 1143286897536.

The previous prime is 4001504141329. The next prime is 4001504141387. The reversal of 4001504141376 is 6731414051004.

The square root of 4001504141376 is 2000376.

The cubic root of 4001504141376 is 15876.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

4001504141376 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 504 + 14 + 137 + 6 = 666.

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

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 4001504141376.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 571643448765 + ... + 571643448771.

Almost surely, 2^{4001504141376} is an apocalyptic number.

4001504141376 is the 2000376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001504141376

4001504141376 is an abundant number, since it is smaller than the sum of its proper divisors (9894318635503).

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

4001504141376 is an frugal number, since it uses more digits than its factorization.

4001504141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 4001504141376 by its sum of digits (36), we get a square (144054149089536 = 12002256²).

4001504141376 divided by its sum of digits (36) gives a square (111152892816 = 333396²).

The spelling of 4001504141376 in words is "four trillion, one billion, five hundred four million, one hundred forty-one thousand, three hundred seventy-six".