42239425233600 has 882 divisors, whose sum is σ = 181273962852924. Its totient is φ = 9654712704000.

The previous prime is 42239425233581. The next prime is 42239425233617. The reversal of 42239425233600 is 633252493224.

42239425233600 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 9 + 4 + 2 + 5 + 2 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (882).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 56784075 + ... + 57523125.

Almost surely, 2^{42239425233600} is an apocalyptic number.

42239425233600 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 42239425233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90636981426462).

42239425233600 is an abundant number, since it is smaller than the sum of its proper divisors (139034537619324).

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

42239425233600 is an equidigital number, since it uses as much as digits as its factorization.

42239425233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739105 (or 739068 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 42239425233600 in words is "forty-two trillion, two hundred thirty-nine billion, four hundred twenty-five million, two hundred thirty-three thousand, six hundred".