443142001113400 has 96 divisors (see below), whose sum is σ = 1044837463934880. Its totient is φ = 174756718080000.

The previous prime is 443142001113389. The next prime is 443142001113421. The reversal of 443142001113400 is 4311100241344.

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, 774707500 + ... + 775279300.

It is an arithmetic number, because the mean of its divisors is an integer number (10883723582655).

Almost surely, 2^{443142001113400} is an apocalyptic number.

443142001113400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443142001113400 is an abundant number, since it is smaller than the sum of its proper divisors (601695462821480).

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

443142001113400 is a wasteful number, since it uses less digits than its factorization.

443142001113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626465 (or 626456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 443142001113400 its reverse (4311100241344), we get a palindrome (447453101354744).

It can be divided in two parts, 44314200 and 1113400, that added together give a square (45427600 = 6740²).

The spelling of 443142001113400 in words is "four hundred forty-three trillion, one hundred forty-two billion, one million, one hundred thirteen thousand, four hundred".