42926845728000 has 576 divisors, whose sum is σ = 153872032204800. Its totient is φ = 10544401612800.

The previous prime is 42926845727999. The next prime is 42926845728007. The reversal of 42926845728000 is 82754862924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42926845728007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597756096 + ... + 597827904.

It is an arithmetic number, because the mean of its divisors is an integer number (267138944800).

Almost surely, 2^{42926845728000} is an apocalyptic number.

42926845728000 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 42926845728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76936016102400).

42926845728000 is an abundant number, since it is smaller than the sum of its proper divisors (110945186476800).

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

42926845728000 is a wasteful number, since it uses less digits than its factorization.

42926845728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72335 (or 72311 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 42926845728000 in words is "forty-two trillion, nine hundred twenty-six billion, eight hundred forty-five million, seven hundred twenty-eight thousand".