42681160704 has 528 divisors, whose sum is σ = 151014362688. Its totient is φ = 10586161152.

The previous prime is 42681160681. The next prime is 42681160751. The reversal of 42681160704 is 40706118624.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 33266047 + ... + 33267329.

Almost surely, 2^42681160704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42681160704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75507181344).

42681160704 is an abundant number, since it is smaller than the sum of its proper divisors (108333201984).

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

42681160704 is a wasteful number, since it uses less digits than its factorization.

42681160704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 42681160704 in words is "forty-two billion, six hundred eighty-one million, one hundred sixty thousand, seven hundred four".