42695166329280 has 336 divisors, whose sum is σ = 155532885580800. Its totient is φ = 11143134655488.

The previous prime is 42695166329261. The next prime is 42695166329297. The reversal of 42695166329280 is 8292366159624.

It is a happy number.

42695166329280 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 516 + 6 + 32 + 9 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2186380 + ... + 9495819.

It is an arithmetic number, because the mean of its divisors is an integer number (462895492800).

Almost surely, 2^{42695166329280} is an apocalyptic number.

42695166329280 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 42695166329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77766442790400).

42695166329280 is an abundant number, since it is smaller than the sum of its proper divisors (112837719251520).

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

42695166329280 is a wasteful number, since it uses less digits than its factorization.

42695166329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682278 (or 11682256 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 42695166329280 in words is "forty-two trillion, six hundred ninety-five billion, one hundred sixty-six million, three hundred twenty-nine thousand, two hundred eighty".