4400488040400 has 720 divisors, whose sum is σ = 15848975600640. Its totient is φ = 1129788518400.

The previous prime is 4400488040387. The next prime is 4400488040423. The reversal of 4400488040400 is 40408840044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6843682479 + ... + 6843683121.

It is an arithmetic number, because the mean of its divisors is an integer number (22012466112).

Almost surely, 2^{4400488040400} is an apocalyptic number.

4400488040400 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 4400488040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924487800320).

4400488040400 is an abundant number, since it is smaller than the sum of its proper divisors (11448487560240).

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

4400488040400 is a wasteful number, since it uses less digits than its factorization.

4400488040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 4400488040400 in words is "four trillion, four hundred billion, four hundred eighty-eight million, forty thousand, four hundred".