42245604600 has 192 divisors, whose sum is σ = 134368899840. Its totient is φ = 10973260800.

The previous prime is 42245604563. The next prime is 42245604601. The reversal of 42245604600 is 640654224.

It is a super-2 number, since 2×42245604600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42245604601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24180927 + ... + 24182673.

It is an arithmetic number, because the mean of its divisors is an integer number (699838020).

Almost surely, 2^42245604600 is an apocalyptic number.

42245604600 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 42245604600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184449920).

42245604600 is an abundant number, since it is smaller than the sum of its proper divisors (92123295240).

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

42245604600 is a wasteful number, since it uses less digits than its factorization.

42245604600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 42245604600 in words is "forty-two billion, two hundred forty-five million, six hundred four thousand, six hundred".