42618337090560 has 1320 divisors, whose sum is σ = 193805277020784. Its totient is φ = 8855711907840.

The previous prime is 42618337090517. The next prime is 42618337090579. The reversal of 42618337090560 is 6509073381624.

42618337090560 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 8 + 3 + 3 + 70 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-2 number, since 2×42618337090560² (a number of 28 digits) contains 22 as substring.

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 = 42618337090497 and 42618337090506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223438752 + ... + 223629408.

It is a 1-persistent number, because it is pandigital, but 2⋅42618337090560 = 85236674181120 is not.

Almost surely, 2^{42618337090560} is an apocalyptic number.

42618337090560 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 42618337090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96902638510392).

42618337090560 is an abundant number, since it is smaller than the sum of its proper divisors (151186939930224).

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

42618337090560 is a wasteful number, since it uses less digits than its factorization.

42618337090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190719 (or 190685 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 42618337090560 in words is "forty-two trillion, six hundred eighteen billion, three hundred thirty-seven million, ninety thousand, five hundred sixty".