42725760000 has 1320 divisors, whose sum is σ = 188468370816. Its totient is φ = 8355840000.

The previous prime is 42725759977. The next prime is 42725760053. The reversal of 42725760000 is 6752724.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2513279992 + ... + 2513280008.

Almost surely, 2^42725760000 is an apocalyptic number.

42725760000 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 42725760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94234185408).

42725760000 is an abundant number, since it is smaller than the sum of its proper divisors (145742610816).

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

42725760000 is a wasteful number, since it uses less digits than its factorization.

42725760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 42725760000 in words is "forty-two billion, seven hundred twenty-five million, seven hundred sixty thousand".