442202204400 has 240 divisors, whose sum is σ = 1612483580160. Its totient is φ = 102539571200.

The previous prime is 442202204363. The next prime is 442202204417. The reversal of 442202204400 is 4402202244.

442202204400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424665 + ... + 1031864.

It is an arithmetic number, because the mean of its divisors is an integer number (6718681584).

Almost surely, 2^442202204400 is an apocalyptic number.

442202204400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442202204400 is an abundant number, since it is smaller than the sum of its proper divisors (1170281375760).

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

442202204400 is a wasteful number, since it uses less digits than its factorization.

442202204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456584 (or 1456573 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 442202204400 its reverse (4402202244), we get a palindrome (446604406644).

The spelling of 442202204400 in words is "four hundred forty-two billion, two hundred two million, two hundred four thousand, four hundred".