42039340800 has 648 divisors, whose sum is σ = 153470396016. Its totient is φ = 10091888640.

The previous prime is 42039340799. The next prime is 42039340843. The reversal of 42039340800 is 804393024.

42039340800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 712531171 + ... + 712531229.

Almost surely, 2^42039340800 is an apocalyptic number.

42039340800 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 42039340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76735198008).

42039340800 is an abundant number, since it is smaller than the sum of its proper divisors (111431055216).

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

42039340800 is a wasteful number, since it uses less digits than its factorization.

42039340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 42039340800 in words is "forty-two billion, thirty-nine million, three hundred forty thousand, eight hundred".