4415041400 has 384 divisors, whose sum is σ = 13713408000. Its totient is φ = 1280448000.

The previous prime is 4415041339. The next prime is 4415041439. The reversal of 4415041400 is 41405144.

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 95 ways as a sum of consecutive naturals, for example, 23115305 + ... + 23115495.

It is an arithmetic number, because the mean of its divisors is an integer number (35712000).

Almost surely, 2^4415041400 is an apocalyptic number.

4415041400 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 4415041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704000).

4415041400 is an abundant number, since it is smaller than the sum of its proper divisors (9298366600).

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

4415041400 is a wasteful number, since it uses less digits than its factorization.

4415041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

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

The square root of 4415041400 is about 66445.7778944607. Note that the first 3 decimals coincide. The cubic root of 4415041400 is about 1640.5076506965.

Adding to 4415041400 its reverse (41405144), we get a palindrome (4456446544).

The spelling of 4415041400 in words is "four billion, four hundred fifteen million, forty-one thousand, four hundred".