42032223024 has 240 divisors, whose sum is σ = 122193845760. Its totient is φ = 12437568000.

The previous prime is 42032223017. The next prime is 42032223049.

It is a happy number.

42032223024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42032222985 and 42032223003.

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, 46341579 + ... + 46342485.

It is an arithmetic number, because the mean of its divisors is an integer number (509141024).

Almost surely, 2^42032223024 is an apocalyptic number.

42032223024 is a gapful number since it is divisible by the number (44) 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 42032223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61096922880).

42032223024 is an abundant number, since it is smaller than the sum of its proper divisors (80161622736).

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

42032223024 is a wasteful number, since it uses less digits than its factorization.

42032223024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 42032223024 in words is "forty-two billion, thirty-two million, two hundred twenty-three thousand, twenty-four".