442688924160 has 1680 divisors, whose sum is σ = 1908958461696. Its totient is φ = 98071658496.

The previous prime is 442688924147. The next prime is 442688924173. The reversal of 442688924160 is 61429886244.

It is a happy number.

442688924160 is a `hidden beast` number, since 4 + 4 + 268 + 89 + 241 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (442688924147) and next prime (442688924173).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 442688924097 and 442688924106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4297950669 + ... + 4297950771.

Almost surely, 2^442688924160 is an apocalyptic number.

442688924160 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 442688924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954479230848).

442688924160 is an abundant number, since it is smaller than the sum of its proper divisors (1466269537536).

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

442688924160 is an equidigital number, since it uses as much as digits as its factorization.

442688924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 442688924160 in words is "four hundred forty-two billion, six hundred eighty-eight million, nine hundred twenty-four thousand, one hundred sixty".