4412304440400 has 60 divisors (see below), whose sum is σ = 14134081894592. Its totient is φ = 1176614517120.

The previous prime is 4412304440399. The next prime is 4412304440447. The reversal of 4412304440400 is 40444032144.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1838458984 + ... + 1838461383.

Almost surely, 2^{4412304440400} is an apocalyptic number.

4412304440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412304440400 is an abundant number, since it is smaller than the sum of its proper divisors (9721777454192).

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

4412304440400 is a wasteful number, since it uses less digits than its factorization.

4412304440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676920388 (or 3676920377 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 4412304440400 its reverse (40444032144), we get a palindrome (4452748472544).

The spelling of 4412304440400 in words is "four trillion, four hundred twelve billion, three hundred four million, four hundred forty thousand, four hundred".