440003120400 has 90 divisors (see below), whose sum is σ = 1526933063370. Its totient is φ = 117334164480.

The previous prime is 440003120377. The next prime is 440003120429. The reversal of 440003120400 is 4021300044.

It can be written as a sum of positive squares in 3 ways, for example, as 5337179136 + 434665941264 = 73056^2 + 659292^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61107945 + ... + 61115144.

Almost surely, 2^440003120400 is an apocalyptic number.

440003120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440003120400 is an abundant number, since it is smaller than the sum of its proper divisors (1086929942970).

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

440003120400 is a wasteful number, since it uses less digits than its factorization.

440003120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122223113 (or 122223099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 440003120400 its reverse (4021300044), we get a palindrome (444024420444).

The spelling of 440003120400 in words is "four hundred forty billion, three million, one hundred twenty thousand, four hundred".