4400431200000 has 972 divisors, whose sum is σ = 17434579381128. Its totient is φ = 1066560000000.

The previous prime is 4400431199987. The next prime is 4400431200017. The reversal of 4400431200000 is 21340044.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 871197475 + ... + 871202525.

Almost surely, 2^{4400431200000} is an apocalyptic number.

4400431200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400431200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717289690564).

4400431200000 is an abundant number, since it is smaller than the sum of its proper divisors (13034148181128).

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

4400431200000 is an equidigital number, since it uses as much as digits as its factorization.

4400431200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5072 counting only the distinct ones).

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

Adding to 4400431200000 its reverse (21340044), we get a palindrome (4400452540044).

The spelling of 4400431200000 in words is "four trillion, four hundred billion, four hundred thirty-one million, two hundred thousand".