42083335680 has 160 divisors (see below), whose sum is σ = 134665264800. Its totient is φ = 11211374592.

The previous prime is 42083335669. The next prime is 42083335691. The reversal of 42083335680 is 8653338024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42083335669) and next prime (42083335691).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×42083335680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10819176 + ... + 10823064.

It is an arithmetic number, because the mean of its divisors is an integer number (841657905).

Almost surely, 2^42083335680 is an apocalyptic number.

42083335680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42083335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67332632400).

42083335680 is an abundant number, since it is smaller than the sum of its proper divisors (92581929120).

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

42083335680 is a wasteful number, since it uses less digits than its factorization.

42083335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 42083335680 in words is "forty-two billion, eighty-three million, three hundred thirty-five thousand, six hundred eighty".