442970700480 has 840 divisors, whose sum is σ = 1979520881184. Its totient is φ = 92041297920.

The previous prime is 442970700413. The next prime is 442970700511. The reversal of 442970700480 is 84007079244.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 21944152 + ... + 21964328.

Almost surely, 2^442970700480 is an apocalyptic number.

442970700480 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 442970700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989760440592).

442970700480 is an abundant number, since it is smaller than the sum of its proper divisors (1536550180704).

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

442970700480 is a wasteful number, since it uses less digits than its factorization.

442970700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20235 (or 20205 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 442970700480 in words is "four hundred forty-two billion, nine hundred seventy million, seven hundred thousand, four hundred eighty".