442864292400 has 420 divisors, whose sum is σ = 1638397014352. Its totient is φ = 114902530560.

The previous prime is 442864292383. The next prime is 442864292407. The reversal of 442864292400 is 4292468244.

442864292400 is a `hidden beast` number, since 4 + 42 + 86 + 42 + 92 + 400 = 666.

It is a super-2 number, since 2×442864292400² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (442864292407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10768677 + ... + 10809723.

Almost surely, 2^442864292400 is an apocalyptic number.

442864292400 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 442864292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819198507176).

442864292400 is an abundant number, since it is smaller than the sum of its proper divisors (1195532721952).

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

442864292400 is a wasteful number, since it uses less digits than its factorization.

442864292400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120 (or 41094 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 442864292400 in words is "four hundred forty-two billion, eight hundred sixty-four million, two hundred ninety-two thousand, four hundred".