42618022560 has 384 divisors, whose sum is σ = 152235417600. Its totient is φ = 11133158400.

The previous prime is 42618022511. The next prime is 42618022567. The reversal of 42618022560 is 6522081624.

It is a happy number.

42618022560 is a `hidden beast` number, since 426 + 1 + 8 + 0 + 225 + 6 + 0 = 666.

42618022560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42618022567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51532867 + ... + 51533693.

It is an arithmetic number, because the mean of its divisors is an integer number (396446400).

Almost surely, 2^42618022560 is an apocalyptic number.

42618022560 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 42618022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76117708800).

42618022560 is an abundant number, since it is smaller than the sum of its proper divisors (109617395040).

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

42618022560 is a wasteful number, since it uses less digits than its factorization.

42618022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42618022560 in words is "forty-two billion, six hundred eighteen million, twenty-two thousand, five hundred sixty".