442144029600 has 1152 divisors, whose sum is σ = 2071867392000. Its totient is φ = 88370196480.

The previous prime is 442144029539. The next prime is 442144029601. The reversal of 442144029600 is 6920441244.

It is a happy number.

442144029600 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 4 + 40 + 2 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442144029601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37340481 + ... + 37352319.

It is an arithmetic number, because the mean of its divisors is an integer number (1798496000).

Almost surely, 2^442144029600 is an apocalyptic number.

442144029600 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 442144029600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035933696000).

442144029600 is an abundant number, since it is smaller than the sum of its proper divisors (1629723362400).

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

442144029600 is a wasteful number, since it uses less digits than its factorization.

442144029600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11907 (or 11888 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 442144029600 in words is "four hundred forty-two billion, one hundred forty-four million, twenty-nine thousand, six hundred".