4157056001 has 8 divisors (see below), whose sum is σ = 4797047424. Its totient is φ = 3528596160.

The previous prime is 4157055989. The next prime is 4157056009. The reversal of 4157056001 is 1006507514.

4157056001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4157056001 - 2¹⁴ = 4157039617 is a prime.

It is a super-2 number, since 2×4157056001² = 34562229190900224002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4157056009) 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, 2882120 + ... + 2883561.

It is an arithmetic number, because the mean of its divisors is an integer number (599630928).

Almost surely, 2^4157056001 is an apocalyptic number.

It is an amenable number.

4157056001 is a deficient number, since it is larger than the sum of its proper divisors (639991423).

4157056001 is a wasteful number, since it uses less digits than its factorization.

4157056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765791.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 4157056001 is about 64475.2355637418. The cubic root of 4157056001 is about 1607.9108224731.

The spelling of 4157056001 in words is "four billion, one hundred fifty-seven million, fifty-six thousand, one".