444369090144 has 96 divisors (see below), whose sum is σ = 1338685608960. Its totient is φ = 126431327232.

The previous prime is 444369090103. The next prime is 444369090161. The reversal of 444369090144 is 441090963444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 444369090093 and 444369090102.

It is a congruent number.

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, 1222789 + ... + 1544004.

It is an arithmetic number, because the mean of its divisors is an integer number (13944641760).

Almost surely, 2^444369090144 is an apocalyptic number.

It is an amenable number.

444369090144 is an abundant number, since it is smaller than the sum of its proper divisors (894316518816).

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

444369090144 is a wasteful number, since it uses less digits than its factorization.

444369090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767052 (or 2767044 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 444369090144 in words is "four hundred forty-four billion, three hundred sixty-nine million, ninety thousand, one hundred forty-four".