42140851200 has 1584 divisors, whose sum is σ = 192442236480. Its totient is φ = 8587837440.

The previous prime is 42140851189. The next prime is 42140851213. The reversal of 42140851200 is 215804124.

42140851200 is a `hidden beast` number, since 4 + 2 + 1 + 408 + 51 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795110374 + ... + 795110426.

Almost surely, 2^42140851200 is an apocalyptic number.

42140851200 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 42140851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96221118240).

42140851200 is an abundant number, since it is smaller than the sum of its proper divisors (150301385280).

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

42140851200 is a wasteful number, since it uses less digits than its factorization.

42140851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 42140851200 in words is "forty-two billion, one hundred forty million, eight hundred fifty-one thousand, two hundred".