42609490560 has 1280 divisors, whose sum is σ = 191991744000. Its totient is φ = 8876335104.

The previous prime is 42609490549. The next prime is 42609490601. The reversal of 42609490560 is 6509490624.

42609490560 is a `hidden beast` number, since 42 + 6 + 0 + 9 + 49 + 0 + 560 = 666.

42609490560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42609490560³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 539360601 + ... + 539360679.

It is an arithmetic number, because the mean of its divisors is an integer number (149993550).

Almost surely, 2^42609490560 is an apocalyptic number.

42609490560 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 42609490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95995872000).

42609490560 is an abundant number, since it is smaller than the sum of its proper divisors (149382253440).

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

42609490560 is an equidigital number, since it uses as much as digits as its factorization.

42609490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 42609490560 in words is "forty-two billion, six hundred nine million, four hundred ninety thousand, five hundred sixty".