42337200960 has 336 divisors, whose sum is σ = 154359864000. Its totient is φ = 10923586560.

The previous prime is 42337200931. The next prime is 42337200977. The reversal of 42337200960 is 6900273324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8300491 + ... + 8305589.

Almost surely, 2^42337200960 is an apocalyptic number.

42337200960 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 42337200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77179932000).

42337200960 is an abundant number, since it is smaller than the sum of its proper divisors (112022663040).

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

42337200960 is a wasteful number, since it uses less digits than its factorization.

42337200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 42337200960 in words is "forty-two billion, three hundred thirty-seven million, two hundred thousand, nine hundred sixty".