4415253696 has 336 divisors, whose sum is σ = 15428634624. Its totient is φ = 1179813888.

The previous prime is 4415253677. The next prime is 4415253701. The reversal of 4415253696 is 6963525144.

4415253696 is a `hidden beast` number, since 4 + 4 + 1 + 525 + 36 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4358086 + ... + 4359098.

Almost surely, 2^4415253696 is an apocalyptic number.

4415253696 is a gapful number since it is divisible by the number (46) 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 4415253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714317312).

4415253696 is an abundant number, since it is smaller than the sum of its proper divisors (11013380928).

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

4415253696 is a wasteful number, since it uses less digits than its factorization.

4415253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1095 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 4415253696 is about 66447.3753883477. The cubic root of 4415253696 is about 1640.5339447217.

The spelling of 4415253696 in words is "four billion, four hundred fifteen million, two hundred fifty-three thousand, six hundred ninety-six".