42642201148560 has 1600 divisors, whose sum is σ = 173698902558720. Its totient is φ = 9601491271680.

The previous prime is 42642201148517. The next prime is 42642201148637. The reversal of 42642201148560 is 6584110224624.

42642201148560 is a `hidden beast` number, since 4 + 2 + 6 + 42 + 2 + 0 + 1 + 1 + 48 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 33392482642 + ... + 33392483918.

Almost surely, 2^{42642201148560} is an apocalyptic number.

42642201148560 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 42642201148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86849451279360).

42642201148560 is an abundant number, since it is smaller than the sum of its proper divisors (131056701410160).

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

42642201148560 is a wasteful number, since it uses less digits than its factorization.

42642201148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 42642201148560 in words is "forty-two trillion, six hundred forty-two billion, two hundred one million, one hundred forty-eight thousand, five hundred sixty".