42422909760 has 1792 divisors, whose sum is σ = 205621493760. Its totient is φ = 8028979200.

The previous prime is 42422909759. The next prime is 42422909761. The reversal of 42422909760 is 6790922424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42422909759) and next prime (42422909761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42422909761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1368480945 + ... + 1368480975.

Almost surely, 2^42422909760 is an apocalyptic number.

42422909760 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 42422909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102810746880).

42422909760 is an abundant number, since it is smaller than the sum of its proper divisors (163198584000).

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

42422909760 is a wasteful number, since it uses less digits than its factorization.

42422909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42422909760 in words is "forty-two billion, four hundred twenty-two million, nine hundred nine thousand, seven hundred sixty".