42181560000 has 700 divisors, whose sum is σ = 160149710688. Its totient is φ = 10969344000.

The previous prime is 42181559977. The next prime is 42181560013. The reversal of 42181560000 is 6518124.

42181560000 is a `hidden beast` number, since 4 + 21 + 81 + 560 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 152279862 + ... + 152280138.

Almost surely, 2^42181560000 is an apocalyptic number.

42181560000 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 42181560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80074855344).

42181560000 is an abundant number, since it is smaller than the sum of its proper divisors (117968150688).

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

42181560000 is an equidigital number, since it uses as much as digits as its factorization.

42181560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 42181560000 in words is "forty-two billion, one hundred eighty-one million, five hundred sixty thousand".