42397090560 has 864 divisors, whose sum is σ = 168742828800. Its totient is φ = 9733570560.

The previous prime is 42397090553. The next prime is 42397090639. The reversal of 42397090560 is 6509079324.

It is a happy number.

42397090560 is a `hidden beast` number, since 423 + 97 + 0 + 90 + 56 + 0 = 666.

It is a super-2 number, since 2×42397090560² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305014971 + ... + 305015109.

It is an arithmetic number, because the mean of its divisors is an integer number (195304200).

Almost surely, 2^42397090560 is an apocalyptic number.

42397090560 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 42397090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84371414400).

42397090560 is an abundant number, since it is smaller than the sum of its proper divisors (126345738240).

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

42397090560 is a wasteful number, since it uses less digits than its factorization.

42397090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 42397090560 in words is "forty-two billion, three hundred ninety-seven million, ninety thousand, five hundred sixty".