440214340400 has 120 divisors (see below), whose sum is σ = 1145870860464. Its totient is φ = 161873510400.

The previous prime is 440214340373. The next prime is 440214340421. The reversal of 440214340400 is 4043412044.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 440214340400.

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, 460361 + ... + 1045160.

Almost surely, 2^440214340400 is an apocalyptic number.

440214340400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440214340400 is an abundant number, since it is smaller than the sum of its proper divisors (705656520064).

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

440214340400 is a wasteful number, since it uses less digits than its factorization.

440214340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505599 (or 1505588 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 440214340400 its reverse (4043412044), we get a palindrome (444257752444).

The spelling of 440214340400 in words is "four hundred forty billion, two hundred fourteen million, three hundred forty thousand, four hundred".