4002754640417 has 16 divisors (see below), whose sum is σ = 4425274687680. Its totient is φ = 3597168076992.

The previous prime is 4002754640279. The next prime is 4002754640441. The reversal of 4002754640417 is 7140464572004.

It is a cyclic number.

It is not a de Polignac number, because 4002754640417 - 2¹⁶ = 4002754574881 is a prime.

It is a super-2 number, since 2×4002754640417² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4002754640447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11490542 + ... + 11833767.

It is an arithmetic number, because the mean of its divisors is an integer number (276579667980).

Almost surely, 2^{4002754640417} is an apocalyptic number.

It is an amenable number.

4002754640417 is a deficient number, since it is larger than the sum of its proper divisors (422520047263).

4002754640417 is a wasteful number, since it uses less digits than its factorization.

4002754640417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23324672.

The product of its (nonzero) digits is 752640, while the sum is 44.

The spelling of 4002754640417 in words is "four trillion, two billion, seven hundred fifty-four million, six hundred forty thousand, four hundred seventeen".