1444402004100 has 144 divisors (see below), whose sum is σ = 4636330755840. Its totient is φ = 344223132800.

The previous prime is 1444402004047. The next prime is 1444402004113. The reversal of 1444402004100 is 14002044441.

It is a happy 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, 3514602 + ... + 3904001.

It is an arithmetic number, because the mean of its divisors is an integer number (32196741360).

Almost surely, 2^{1444402004100} is an apocalyptic number.

1444402004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444402004100 is an abundant number, since it is smaller than the sum of its proper divisors (3191928751740).

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

1444402004100 is a wasteful number, since it uses less digits than its factorization.

1444402004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418690 (or 7418683 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1444402004100 its reverse (14002044441), we get a palindrome (1458404048541).

The spelling of 1444402004100 in words is "one trillion, four hundred forty-four billion, four hundred two million, four thousand, one hundred".