42064028160 has 640 divisors, whose sum is σ = 169873127424. Its totient is φ = 8625192960.

The previous prime is 42064028119. The next prime is 42064028197. The reversal of 42064028160 is 6182046024.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49082452 + ... + 49083308.

Almost surely, 2^42064028160 is an apocalyptic number.

42064028160 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 42064028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84936563712).

42064028160 is an abundant number, since it is smaller than the sum of its proper divisors (127809099264).

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

42064028160 is a wasteful number, since it uses less digits than its factorization.

42064028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 42064028160 in words is "forty-two billion, sixty-four million, twenty-eight thousand, one hundred sixty".