42322442240 has 384 divisors, whose sum is σ = 119292264000. Its totient is φ = 14269022208.

The previous prime is 42322442233. The next prime is 42322442257. The reversal of 42322442240 is 4224422324.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 73348832 + ... + 73349408.

Almost surely, 2^42322442240 is an apocalyptic number.

42322442240 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 42322442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59646132000).

42322442240 is an abundant number, since it is smaller than the sum of its proper divisors (76969821760).

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

42322442240 is a wasteful number, since it uses less digits than its factorization.

42322442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 42322442240 its reverse (4224422324), we get a palindrome (46546864564).

The spelling of 42322442240 in words is "forty-two billion, three hundred twenty-two million, four hundred forty-two thousand, two hundred forty".