42320104000 has 112 divisors (see below), whose sum is σ = 105146801136. Its totient is φ = 16872960000.

The previous prime is 42320103997. The next prime is 42320104051. The reversal of 42320104000 is 40102324.

It can be written as a sum of positive squares in 8 ways, for example, as 12449203776 + 29870900224 = 111576^2 + 172832^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2495550 + ... + 2512450.

Almost surely, 2^42320104000 is an apocalyptic number.

42320104000 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 42320104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52573400568).

42320104000 is an abundant number, since it is smaller than the sum of its proper divisors (62826697136).

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

42320104000 is a wasteful number, since it uses less digits than its factorization.

42320104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17241 (or 17221 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42320104000 its reverse (40102324), we get a palindrome (42360206324).

The spelling of 42320104000 in words is "forty-two billion, three hundred twenty million, one hundred four thousand".