42605746260 has 384 divisors, whose sum is σ = 151058718720. Its totient is φ = 8716032000.

The previous prime is 42605746247. The next prime is 42605746297. The reversal of 42605746260 is 6264750624.

It is a super-2 number, since 2×42605746260² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109526146 + ... + 109526534.

It is an arithmetic number, because the mean of its divisors is an integer number (393382080).

Almost surely, 2^42605746260 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 42605746260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75529359360).

42605746260 is an abundant number, since it is smaller than the sum of its proper divisors (108452972460).

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

42605746260 is a wasteful number, since it uses less digits than its factorization.

42605746260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 42605746260 in words is "forty-two billion, six hundred five million, seven hundred forty-six thousand, two hundred sixty".