4089446400 has 276 divisors, whose sum is σ = 14562621752. Its totient is φ = 1006632960.

The previous prime is 4089446381. The next prime is 4089446411. The reversal of 4089446400 is 46449804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

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, 314572794 + ... + 314572806.

Almost surely, 2^4089446400 is an apocalyptic number.

4089446400 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 4089446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281310876).

4089446400 is an abundant number, since it is smaller than the sum of its proper divisors (10473175352).

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

4089446400 is an frugal number, since it uses more digits than its factorization.

4089446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4089446400 is about 63948.7795035996. The cubic root of 4089446400 is about 1599.1462111506.

Multiplying 4089446400 by its sum of digits (39), we get a square (159488409600 = 399360²).

4089446400 divided by its sum of digits (39) gives a square (104857600 = 10240²).

The spelling of 4089446400 in words is "four billion, eighty-nine million, four hundred forty-six thousand, four hundred".