42077341617 has 16 divisors (see below), whose sum is σ = 56361614400. Its totient is φ = 27922391552.

The previous prime is 42077341573. The next prime is 42077341627. The reversal of 42077341617 is 71614377024.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42077341617 - 2¹¹ = 42077339569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42077341627) 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, 2822818 + ... + 2837684.

It is an arithmetic number, because the mean of its divisors is an integer number (3522600900).

Almost surely, 2^42077341617 is an apocalyptic number.

It is an amenable number.

42077341617 is a deficient number, since it is larger than the sum of its proper divisors (14284272783).

42077341617 is a wasteful number, since it uses less digits than its factorization.

42077341617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19152.

The product of its (nonzero) digits is 197568, while the sum is 42.

It can be divided in two parts, 4207734 and 1617, that added together give a triangular number (4209351 = T₂₉₀₁).

The spelling of 42077341617 in words is "forty-two billion, seventy-seven million, three hundred forty-one thousand, six hundred seventeen".