4410612864 has 256 divisors, whose sum is σ = 14948793600. Its totient is φ = 1254113280.

The previous prime is 4410612863. The next prime is 4410612901. The reversal of 4410612864 is 4682160144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4410612863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8152434 + ... + 8152974.

It is an arithmetic number, because the mean of its divisors is an integer number (58393725).

Almost surely, 2^4410612864 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 4410612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474396800).

4410612864 is an abundant number, since it is smaller than the sum of its proper divisors (10538180736).

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

4410612864 is a wasteful number, since it uses less digits than its factorization.

4410612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4410612864 is about 66412.4450987915. The cubic root of 4410612864 is about 1639.9589599090.

The spelling of 4410612864 in words is "four billion, four hundred ten million, six hundred twelve thousand, eight hundred sixty-four".