42250390560 has 768 divisors, whose sum is σ = 175204270080. Its totient is φ = 9426004992.

The previous prime is 42250390549. The next prime is 42250390619. The reversal of 42250390560 is 6509305224.

42250390560 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 0 + 3 + 90 + 560 = 666.

It is a super-2 number, since 2×42250390560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 115123497 + ... + 115123863.

It is an arithmetic number, because the mean of its divisors is an integer number (228130560).

Almost surely, 2^42250390560 is an apocalyptic number.

42250390560 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 42250390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87602135040).

42250390560 is an abundant number, since it is smaller than the sum of its proper divisors (132953879520).

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

42250390560 is an equidigital number, since it uses as much as digits as its factorization.

42250390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 42250390560 its reverse (6509305224), we get a palindrome (48759695784).

The spelling of 42250390560 in words is "forty-two billion, two hundred fifty million, three hundred ninety thousand, five hundred sixty".