42016501200 has 360 divisors, whose sum is σ = 148260742848. Its totient is φ = 10150778880.

The previous prime is 42016501187. The next prime is 42016501231. The reversal of 42016501200 is 210561024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9961492 + ... + 9965708.

Almost surely, 2^42016501200 is an apocalyptic number.

42016501200 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 42016501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74130371424).

42016501200 is an abundant number, since it is smaller than the sum of its proper divisors (106244241648).

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

42016501200 is a wasteful number, since it uses less digits than its factorization.

42016501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 42016501200 in words is "forty-two billion, sixteen million, five hundred one thousand, two hundred".