42241599232560 has 640 divisors, whose sum is σ = 182885654568960. Its totient is φ = 8722883395584.

The previous prime is 42241599232541. The next prime is 42241599232601. The reversal of 42241599232560 is 6523299514224.

42241599232560 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 1 + 59 + 9 + 23 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42241599232497 and 42241599232506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6952104 + ... + 11524536.

It is an arithmetic number, because the mean of its divisors is an integer number (285758835264).

Almost surely, 2^{42241599232560} is an apocalyptic number.

42241599232560 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 42241599232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91442827284480).

42241599232560 is an abundant number, since it is smaller than the sum of its proper divisors (140644055336400).

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

42241599232560 is a wasteful number, since it uses less digits than its factorization.

42241599232560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572522 (or 4572510 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 42241599232560 in words is "forty-two trillion, two hundred forty-one billion, five hundred ninety-nine million, two hundred thirty-two thousand, five hundred sixty".