444114351120 has 80 divisors (see below), whose sum is σ = 1501913996352. Its totient is φ = 107664084480.

The previous prime is 444114351119. The next prime is 444114351133. The reversal of 444114351120 is 21153411444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84109927 + ... + 84115206.

Almost surely, 2^444114351120 is an apocalyptic number.

444114351120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444114351120 is an abundant number, since it is smaller than the sum of its proper divisors (1057799645232).

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

444114351120 is a wasteful number, since it uses less digits than its factorization.

444114351120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168225160 (or 168225154 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 444114351120 its reverse (21153411444), we get a palindrome (465267762564).

The spelling of 444114351120 in words is "four hundred forty-four billion, one hundred fourteen million, three hundred fifty-one thousand, one hundred twenty".