42142520000 has 280 divisors, whose sum is σ = 121500107520. Its totient is φ = 14198400000.

The previous prime is 42142519997. The next prime is 42142520023. The reversal of 42142520000 is 2524124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16518725 + ... + 16521275.

Almost surely, 2^42142520000 is an apocalyptic number.

42142520000 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 42142520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60750053760).

42142520000 is an abundant number, since it is smaller than the sum of its proper divisors (79357587520).

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

42142520000 is an equidigital number, since it uses as much as digits as its factorization.

42142520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 42142520000 in words is "forty-two billion, one hundred forty-two million, five hundred twenty thousand".