42559029842560 has 1296 divisors, whose sum is σ = 138898914990570. Its totient is φ = 12421474222080.

The previous prime is 42559029842513. The next prime is 42559029842561. The reversal of 42559029842560 is 6524892095524.

It can be written as a sum of positive squares in 9 ways, for example, as 38578111032384 + 3980918810176 = 6211128^2 + 1995224^2 .

It is a super-2 number, since 2×42559029842560² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42559029842561) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 216035684382 + ... + 216035684578.

Almost surely, 2^{42559029842560} is an apocalyptic number.

42559029842560 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 42559029842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69449457495285).

42559029842560 is an abundant number, since it is smaller than the sum of its proper divisors (96339885148010).

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

42559029842560 is a wasteful number, since it uses less digits than its factorization.

42559029842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 61.

The spelling of 42559029842560 in words is "forty-two trillion, five hundred fifty-nine billion, twenty-nine million, eight hundred forty-two thousand, five hundred sixty".