42666666624 has 128 divisors (see below), whose sum is σ = 129329716800. Its totient is φ = 13837796352.

The previous prime is 42666666617. The next prime is 42666666629.

42666666624 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42666666629) 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, 38962 + ... + 294705.

Almost surely, 2^42666666624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42666666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64664858400).

42666666624 is an abundant number, since it is smaller than the sum of its proper divisors (86663050176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42666666624 is a wasteful number, since it uses less digits than its factorization.

42666666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333727 (or 333709 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

It can be divided in two parts, 42 and 666666624, that added together give a palindrome (666666666).

The spelling of 42666666624 in words is "forty-two billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred twenty-four".