404344432205140 has 72 divisors (see below), whose sum is σ = 991126864900872. Its totient is φ = 138159228614400.

The previous prime is 404344432205093. The next prime is 404344432205171. The reversal of 404344432205140 is 41502234443404.

It can be written as a sum of positive squares in 4 ways, for example, as 120204121047696 + 284140311157444 = 10963764^2 + 16856462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404344432205093 and 404344432205102.

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, 703802211 + ... + 704376490.

It is an arithmetic number, because the mean of its divisors is an integer number (13765650901401).

Almost surely, 2^{404344432205140} is an apocalyptic number.

It is an amenable number.

404344432205140 is an abundant number, since it is smaller than the sum of its proper divisors (586782432695732).

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

404344432205140 is a wasteful number, since it uses less digits than its factorization.

404344432205140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408179017 (or 1408179008 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 404344432205140 its reverse (41502234443404), we get a palindrome (445846666648544).

The spelling of 404344432205140 in words is "four hundred four trillion, three hundred forty-four billion, four hundred thirty-two million, two hundred five thousand, one hundred forty".