42878330020064 has 384 divisors, whose sum is σ = 107134902927360. Its totient is φ = 16409288448000.

The previous prime is 42878330020051. The next prime is 42878330020087. The reversal of 42878330020064 is 46002003387824.

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, 30132346457 + ... + 30132347879.

It is an arithmetic number, because the mean of its divisors is an integer number (278997143040).

Almost surely, 2^{42878330020064} is an apocalyptic number.

42878330020064 is a gapful number since it is divisible by the number (44) 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 42878330020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53567451463680).

42878330020064 is an abundant number, since it is smaller than the sum of its proper divisors (64256572907296).

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

42878330020064 is a wasteful number, since it uses less digits than its factorization.

42878330020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 42878330020064 in words is "forty-two trillion, eight hundred seventy-eight billion, three hundred thirty million, twenty thousand, sixty-four".