42024442000 has 160 divisors (see below), whose sum is σ = 109627206624. Its totient is φ = 15521792000.

The previous prime is 42024441997. The next prime is 42024442027. The reversal of 42024442000 is 24442024.

It can be written as a sum of positive squares in 16 ways, for example, as 19707667456 + 22316774544 = 140384^2 + 149388^2 .

It is a super-2 number, since 2×42024442000² (a number of 22 digits) contains 22 as substring.

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, 1790340 + ... + 1813660.

Almost surely, 2^42024442000 is an apocalyptic number.

42024442000 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 42024442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54813603312).

42024442000 is an abundant number, since it is smaller than the sum of its proper divisors (67602764624).

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

42024442000 is a wasteful number, since it uses less digits than its factorization.

42024442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23414 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42024442000 its reverse (24442024), we get a palindrome (42048884024).

The spelling of 42024442000 in words is "forty-two billion, twenty-four million, four hundred forty-two thousand".