42130944000 has 624 divisors, whose sum is σ = 156279561984. Its totient is φ = 10911744000.

The previous prime is 42130943893. The next prime is 42130944019. The reversal of 42130944000 is 44903124.

42130944000 is a `hidden beast` number, since 4 + 213 + 0 + 9 + 440 + 0 + 0 = 666.

It is a super-2 number, since 2×42130944000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188927889 + ... + 188928111.

It is an arithmetic number, because the mean of its divisors is an integer number (250448016).

Almost surely, 2^42130944000 is an apocalyptic number.

42130944000 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 42130944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78139780992).

42130944000 is an abundant number, since it is smaller than the sum of its proper divisors (114148617984).

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

42130944000 is a wasteful number, since it uses less digits than its factorization.

42130944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 42130944000 in words is "forty-two billion, one hundred thirty million, nine hundred forty-four thousand".