442104311422400 has 168 divisors, whose sum is σ = 1249209097167360. Its totient is φ = 152303877504000.

The previous prime is 442104311422379. The next prime is 442104311422429. The reversal of 442104311422400 is 4224113401244.

It is a super-2 number, since 2×442104311422400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660706736 + ... + 661375535.

It is an arithmetic number, because the mean of its divisors is an integer number (7435768435520).

Almost surely, 2^{442104311422400} is an apocalyptic number.

442104311422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442104311422400 is an abundant number, since it is smaller than the sum of its proper divisors (807104785744960).

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

442104311422400 is a wasteful number, since it uses less digits than its factorization.

442104311422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322082323 (or 1322082308 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 442104311422400 its reverse (4224113401244), we get a palindrome (446328424823644).

The spelling of 442104311422400 in words is "four hundred forty-two trillion, one hundred four billion, three hundred eleven million, four hundred twenty-two thousand, four hundred".