4415904000 has 576 divisors, whose sum is σ = 17218656000. Its totient is φ = 1111449600.

The previous prime is 4415903939. The next prime is 4415904043. The reversal of 4415904000 is 4095144.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×4415904000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16415866 + ... + 16416134.

It is an arithmetic number, because the mean of its divisors is an integer number (29893500).

Almost surely, 2^4415904000 is an apocalyptic number.

4415904000 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 4415904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328000).

4415904000 is an abundant number, since it is smaller than the sum of its proper divisors (12802752000).

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

4415904000 is a wasteful number, since it uses less digits than its factorization.

4415904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4415904000 is about 66452.2685843004. The cubic root of 4415904000 is about 1640.6144831979.

Adding to 4415904000 its reverse (4095144), we get a palindrome (4419999144).

The spelling of 4415904000 in words is "four billion, four hundred fifteen million, nine hundred four thousand".