42404334382080 has 1056 divisors, whose sum is σ = 166100117299200. Its totient is φ = 10251449303040.

The previous prime is 42404334382063. The next prime is 42404334382093. The reversal of 42404334382080 is 8028343340424.

42404334382080 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 4 + 3 + 3 + 438 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6406453011 + ... + 6406459629.

Almost surely, 2^{42404334382080} is an apocalyptic number.

42404334382080 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 42404334382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83050058649600).

42404334382080 is an abundant number, since it is smaller than the sum of its proper divisors (123695782917120).

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

42404334382080 is a wasteful number, since it uses less digits than its factorization.

42404334382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 42404334382080 in words is "forty-two trillion, four hundred four billion, three hundred thirty-four million, three hundred eighty-two thousand, eighty".