4000757081 has 8 divisors (see below), whose sum is σ = 4100828424. Its totient is φ = 3900804480.

The previous prime is 4000757063. The next prime is 4000757083. The reversal of 4000757081 is 1807570004.

It can be written as a sum of positive squares in 4 ways, for example, as 39187600 + 3961569481 = 6260^2 + 62941^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000757081 - 2¹⁸ = 4000494937 is a prime.

It is a super-2 number, since 2×4000757081² = 32012114442343281122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4000757083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40595 + ... + 98231.

It is an arithmetic number, because the mean of its divisors is an integer number (512603553).

Almost surely, 2^4000757081 is an apocalyptic number.

4000757081 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4000757081 is a deficient number, since it is larger than the sum of its proper divisors (100071343).

4000757081 is a wasteful number, since it uses less digits than its factorization.

4000757081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59371.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 4000757081 is about 63251.5381710200. The cubic root of 4000757081 is about 1587.5011949151.

The spelling of 4000757081 in words is "four billion, seven hundred fifty-seven thousand, eighty-one".