442522342401400 has 48 divisors (see below), whose sum is σ = 1032776478320400. Its totient is φ = 176335899156480.

The previous prime is 442522342401383. The next prime is 442522342401431. The reversal of 442522342401400 is 4104243225244.

It is a self number, because there is not a number n which added to its sum of digits gives 442522342401400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4206433545 + ... + 4206538744.

It is an arithmetic number, because the mean of its divisors is an integer number (21516176631675).

Almost surely, 2^{442522342401400} is an apocalyptic number.

442522342401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442522342401400 is an abundant number, since it is smaller than the sum of its proper divisors (590254135919000).

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

442522342401400 is a wasteful number, since it uses less digits than its factorization.

442522342401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412972568 (or 8412972559 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 442522342401400 its reverse (4104243225244), we get a palindrome (446626585626644).

The spelling of 442522342401400 in words is "four hundred forty-two trillion, five hundred twenty-two billion, three hundred forty-two million, four hundred one thousand, four hundred".