442873062400 has 132 divisors (see below), whose sum is σ = 1106177347440. Its totient is φ = 175795609600.

The previous prime is 442873062347. The next prime is 442873062491. The reversal of 442873062400 is 4260378244.

It is a super-2 number, since 2×442873062400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3287571 + ... + 3419629.

It is an arithmetic number, because the mean of its divisors is an integer number (8380131420).

Almost surely, 2^442873062400 is an apocalyptic number.

442873062400 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 442873062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553088673720).

442873062400 is an abundant number, since it is smaller than the sum of its proper divisors (663304285040).

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

442873062400 is a wasteful number, since it uses less digits than its factorization.

442873062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132220 (or 132197 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 442873062400 in words is "four hundred forty-two billion, eight hundred seventy-three million, sixty-two thousand, four hundred".