4415144000 has 224 divisors, whose sum is σ = 11893539840. Its totient is φ = 1617408000.

The previous prime is 4415143987. The next prime is 4415144039. The reversal of 4415144000 is 4415144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4711532 + ... + 4712468.

It is an arithmetic number, because the mean of its divisors is an integer number (53096160).

Almost surely, 2^4415144000 is an apocalyptic number.

4415144000 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 4415144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946769920).

4415144000 is an abundant number, since it is smaller than the sum of its proper divisors (7478395840).

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

4415144000 is a wasteful number, since it uses less digits than its factorization.

4415144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4415144000 is about 66446.5499480598. The cubic root of 4415144000 is about 1640.5203583751.

Adding to 4415144000 its reverse (4415144), we get a palindrome (4419559144).

4415144000 divided by its reverse (4415144) gives a cube (1000 = 10³).

The spelling of 4415144000 in words is "four billion, four hundred fifteen million, one hundred forty-four thousand".