42084725760 has 1056 divisors, whose sum is σ = 188533612800. Its totient is φ = 8422686720.

The previous prime is 42084725747. The next prime is 42084725791. The reversal of 42084725760 is 6752748024.

It is a happy number.

42084725760 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 4 + 72 + 576 + 0 = 666.

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

It is a super-2 number, since 2×42084725760² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 102896436 + ... + 102896844.

Almost surely, 2^42084725760 is an apocalyptic number.

42084725760 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 42084725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94266806400).

42084725760 is an abundant number, since it is smaller than the sum of its proper divisors (146448887040).

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

42084725760 is a wasteful number, since it uses less digits than its factorization.

42084725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42084725760 in words is "forty-two billion, eighty-four million, seven hundred twenty-five thousand, seven hundred sixty".