4415190464 has 112 divisors (see below), whose sum is σ = 9305763456. Its totient is φ = 2075673600.

The previous prime is 4415190449. The next prime is 4415190487. The reversal of 4415190464 is 4640915144.

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 15 ways as a sum of consecutive naturals, for example, 13338779 + ... + 13339109.

Almost surely, 2^4415190464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652881728).

4415190464 is an abundant number, since it is smaller than the sum of its proper divisors (4890572992).

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

4415190464 is a wasteful number, since it uses less digits than its factorization.

4415190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 4415190464 is about 66446.8995815456. The cubic root of 4415190464 is about 1640.5261131795.

The spelling of 4415190464 in words is "four billion, four hundred fifteen million, one hundred ninety thousand, four hundred sixty-four".