442520226720 has 864 divisors, whose sum is σ = 1818091941120. Its totient is φ = 97125949440.

The previous prime is 442520226691. The next prime is 442520226823. The reversal of 442520226720 is 27622025244.

442520226720 is a `hidden beast` number, since 4 + 42 + 520 + 2 + 26 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141877321 + ... + 141880439.

It is an arithmetic number, because the mean of its divisors is an integer number (2104273080).

Almost surely, 2^442520226720 is an apocalyptic number.

442520226720 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 442520226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909045970560).

442520226720 is an abundant number, since it is smaller than the sum of its proper divisors (1375571714400).

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

442520226720 is a wasteful number, since it uses less digits than its factorization.

442520226720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 442520226720 in words is "four hundred forty-two billion, five hundred twenty million, two hundred twenty-six thousand, seven hundred twenty".