4000976059536 has 405 divisors, whose sum is σ = 12254326558227. Its totient is φ = 1218388625280.

The previous prime is 4000976059469. The next prime is 4000976059547. The reversal of 4000976059536 is 6359506790004.

The square root of 4000976059536 is 2000244.

It is a perfect power (a square), and thus also a powerful number.

4000976059536 is a `hidden beast` number, since 40 + 0 + 0 + 9 + 7 + 6 + 0 + 595 + 3 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14137724451 + ... + 14137724733.

Almost surely, 2^{4000976059536} is an apocalyptic number.

4000976059536 is the 2000244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000976059536

4000976059536 is an abundant number, since it is smaller than the sum of its proper divisors (8253350498691).

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

4000976059536 is a wasteful number, since it uses less digits than its factorization.

4000976059536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 4000976059536 in words is "four trillion, nine hundred seventy-six million, fifty-nine thousand, five hundred thirty-six".