442549094400 has 2304 divisors, whose sum is σ = 2047368960000. Its totient is φ = 91410923520.

The previous prime is 442549094363. The next prime is 442549094447. The reversal of 442549094400 is 4490945244.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×442549094400² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5331916759 + ... + 5331916841.

It is an arithmetic number, because the mean of its divisors is an integer number (888615000).

Almost surely, 2^442549094400 is an apocalyptic number.

442549094400 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 442549094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480000).

442549094400 is an abundant number, since it is smaller than the sum of its proper divisors (1604819865600).

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

442549094400 is a wasteful number, since it uses less digits than its factorization.

442549094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 442549094400 in words is "four hundred forty-two billion, five hundred forty-nine million, ninety-four thousand, four hundred".