4440146400 has 216 divisors, whose sum is σ = 15991413984. Its totient is φ = 1158758400.

The previous prime is 4440146371. The next prime is 4440146419. The reversal of 4440146400 is 46410444.

4440146400 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 14 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331840 + ... + 344960.

It is an arithmetic number, because the mean of its divisors is an integer number (74034324).

Almost surely, 2^4440146400 is an apocalyptic number.

4440146400 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 4440146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995706992).

4440146400 is an abundant number, since it is smaller than the sum of its proper divisors (11551267584).

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

4440146400 is a wasteful number, since it uses less digits than its factorization.

4440146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4440146400 is about 66634.4235361874. The cubic root of 4440146400 is about 1643.6112174944.

Adding to 4440146400 its reverse (46410444), we get a palindrome (4486556844).

The spelling of 4440146400 in words is "four billion, four hundred forty million, one hundred forty-six thousand, four hundred".