42016060800 has 1344 divisors, whose sum is σ = 185798108160. Its totient is φ = 9181900800.

The previous prime is 42016060789. The next prime is 42016060817. The reversal of 42016060800 is 806061024.

42016060800 is a `hidden beast` number, since 42 + 0 + 16 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 167 ways as a sum of consecutive naturals, for example, 506217559 + ... + 506217641.

It is an arithmetic number, because the mean of its divisors is an integer number (138242640).

Almost surely, 2^42016060800 is an apocalyptic number.

42016060800 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 42016060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899054080).

42016060800 is an abundant number, since it is smaller than the sum of its proper divisors (143782047360).

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

42016060800 is an equidigital number, since it uses as much as digits as its factorization.

42016060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 42016060800 in words is "forty-two billion, sixteen million, sixty thousand, eight hundred".