416265011561 has 16 divisors (see below), whose sum is σ = 509257574400. Its totient is φ = 332290554768.

The previous prime is 416265011557. The next prime is 416265011579. The reversal of 416265011561 is 165110562614.

It is a cyclic number.

It is not a de Polignac number, because 416265011561 - 2² = 416265011557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416265017561) 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, 26515985 + ... + 26531678.

It is an arithmetic number, because the mean of its divisors is an integer number (31828598400).

Almost surely, 2^416265011561 is an apocalyptic number.

It is an amenable number.

416265011561 is a deficient number, since it is larger than the sum of its proper divisors (92992562839).

416265011561 is a wasteful number, since it uses less digits than its factorization.

416265011561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53047748.

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 416265011561 in words is "four hundred sixteen billion, two hundred sixty-five million, eleven thousand, five hundred sixty-one".