42414331180032 has 880 divisors, whose sum is σ = 149456412407808. Its totient is φ = 11727989637120.

The previous prime is 42414331180009. The next prime is 42414331180121. The reversal of 42414331180032 is 23008113341424.

42414331180032 is a `hidden beast` number, since 4 + 2 + 41 + 433 + 1 + 180 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4103151568 + ... + 4103161904.

Almost surely, 2^{42414331180032} is an apocalyptic number.

42414331180032 is a gapful number since it is divisible by the number (42) 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 42414331180032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74728206203904).

42414331180032 is an abundant number, since it is smaller than the sum of its proper divisors (107042081227776).

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

42414331180032 is a wasteful number, since it uses less digits than its factorization.

42414331180032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10604 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42414331180032 in words is "forty-two trillion, four hundred fourteen billion, three hundred thirty-one million, one hundred eighty thousand, thirty-two".