42320862720 has 320 divisors, whose sum is σ = 155184353280. Its totient is φ = 10920960000.

The previous prime is 42320862709. The next prime is 42320862763. The reversal of 42320862720 is 2726802324.

It is a happy number.

42320862720 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 0 + 8 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2132845 + ... + 2152595.

It is an arithmetic number, because the mean of its divisors is an integer number (484951104).

Almost surely, 2^42320862720 is an apocalyptic number.

42320862720 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 42320862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77592176640).

42320862720 is an abundant number, since it is smaller than the sum of its proper divisors (112863490560).

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

42320862720 is a wasteful number, since it uses less digits than its factorization.

42320862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19814 (or 19792 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42320862720 in words is "forty-two billion, three hundred twenty million, eight hundred sixty-two thousand, seven hundred twenty".