42517984320 has 448 divisors, whose sum is σ = 171835023360. Its totient is φ = 9694992384.

The previous prime is 42517984309. The next prime is 42517984367. The reversal of 42517984320 is 2348971524.

42517984320 is a `hidden beast` number, since 4 + 2 + 517 + 98 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×42517984320³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 43968477 + ... + 43969443.

It is an arithmetic number, because the mean of its divisors is an integer number (383560320).

Almost surely, 2^42517984320 is an apocalyptic number.

42517984320 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 42517984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85917511680).

42517984320 is an abundant number, since it is smaller than the sum of its proper divisors (129317039040).

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

42517984320 is a wasteful number, since it uses less digits than its factorization.

42517984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42517984320 in words is "forty-two billion, five hundred seventeen million, nine hundred eighty-four thousand, three hundred twenty".