42333104000 has 256 divisors, whose sum is σ = 118538035200. Its totient is φ = 14895360000.

The previous prime is 42333103987. The next prime is 42333104057. The reversal of 42333104000 is 40133324.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5452121 + ... + 5459879.

It is an arithmetic number, because the mean of its divisors is an integer number (463039200).

Almost surely, 2^42333104000 is an apocalyptic number.

42333104000 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 42333104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59269017600).

42333104000 is an abundant number, since it is smaller than the sum of its proper divisors (76204931200).

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

42333104000 is a wasteful number, since it uses less digits than its factorization.

42333104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42333104000 its reverse (40133324), we get a palindrome (42373237324).

The spelling of 42333104000 in words is "forty-two billion, three hundred thirty-three million, one hundred four thousand".