4641001464 has 192 divisors, whose sum is σ = 13391078400. Its totient is φ = 1337783040.

The previous prime is 4641001447. The next prime is 4641001471.

4641001464 is nontrivially palindromic in base 10.

It is a congruent number.

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, 5049597 + ... + 5050515.

It is an arithmetic number, because the mean of its divisors is an integer number (69745200).

Almost surely, 2^4641001464 is an apocalyptic number.

4641001464 is a gapful number since it is divisible by the number (44) 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 4641001464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695539200).

4641001464 is an abundant number, since it is smaller than the sum of its proper divisors (8750076936).

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

4641001464 is a wasteful number, since it uses less digits than its factorization.

4641001464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4641001464 is about 68124.8960659758. The cubic root of 4641001464 is about 1668.0301710005.

It can be divided in two parts, 464100 and 1464, that added together give a palindrome (465564).

The spelling of 4641001464 in words is "four billion, six hundred forty-one million, one thousand, four hundred sixty-four".