442725782400 has 1152 divisors, whose sum is σ = 1814846342400. Its totient is φ = 105815808000.

The previous prime is 442725782383. The next prime is 442725782407. The reversal of 442725782400 is 4287527244.

442725782400 is a `hidden beast` number, since 4 + 4 + 2 + 72 + 578 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×442725782400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442725782407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6235574365 + ... + 6235574435.

It is an arithmetic number, because the mean of its divisors is an integer number (1575387450).

Almost surely, 2^442725782400 is an apocalyptic number.

442725782400 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 442725782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907423171200).

442725782400 is an abundant number, since it is smaller than the sum of its proper divisors (1372120560000).

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

442725782400 is an frugal number, since it uses more digits than its factorization.

442725782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 442725782400 in words is "four hundred forty-two billion, seven hundred twenty-five million, seven hundred eighty-two thousand, four hundred".