404444377000 has 64 divisors (see below), whose sum is σ = 969482863440. Its totient is φ = 157831936000.

The previous prime is 404444376989. The next prime is 404444377031. The reversal of 404444377000 is 773444404.

It can be written as a sum of positive squares in 8 ways, for example, as 76113084996 + 328331292004 = 275886^2 + 573002^2 .

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, 4891249 + ... + 4973248.

Almost surely, 2^404444377000 is an apocalyptic number.

404444377000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404444377000 is an abundant number, since it is smaller than the sum of its proper divisors (565038486440).

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

404444377000 is a wasteful number, since it uses less digits than its factorization.

404444377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9864559 (or 9864545 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 37.

The spelling of 404444377000 in words is "four hundred four billion, four hundred forty-four million, three hundred seventy-seven thousand".