440404040400 has 60 divisors (see below), whose sum is σ = 1410760946592. Its totient is φ = 117441077120.

The previous prime is 440404040389. The next prime is 440404040407. The reversal of 440404040400 is 4040404044.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440404040407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183500484 + ... + 183502883.

Almost surely, 2^440404040400 is an apocalyptic number.

440404040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440404040400 is an abundant number, since it is smaller than the sum of its proper divisors (970356906192).

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

440404040400 is a wasteful number, since it uses less digits than its factorization.

440404040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367003388 (or 367003377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440404040400 its reverse (4040404044), we get a palindrome (444444444444).

It can be divided in two parts, 4 and 40404040400, that added together give a palindrome (40404040404).

The spelling of 440404040400 in words is "four hundred forty billion, four hundred four million, forty thousand, four hundred".