42016713984 has 576 divisors, whose sum is σ = 146744156160. Its totient is φ = 11757312000.

The previous prime is 42016713971. The next prime is 42016713997. The reversal of 42016713984 is 48931761024.

42016713984 is a `hidden beast` number, since 420 + 16 + 7 + 139 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (42016713971) and next prime (42016713997).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×42016713984² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278256309 + ... + 278256459.

It is an arithmetic number, because the mean of its divisors is an integer number (254764160).

Almost surely, 2^42016713984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42016713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73372078080).

42016713984 is an abundant number, since it is smaller than the sum of its proper divisors (104727442176).

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

42016713984 is an frugal number, since it uses more digits than its factorization.

42016713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 42016713984 in words is "forty-two billion, sixteen million, seven hundred thirteen thousand, nine hundred eighty-four".