4641336331464 has 256 divisors, whose sum is σ = 13803682521600. Its totient is φ = 1272886272000.

The previous prime is 4641336331453. The next prime is 4641336331481.

4641336331464 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 176403142 + ... + 176429450.

It is an arithmetic number, because the mean of its divisors is an integer number (53920634850).

Almost surely, 2^{4641336331464} 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 4641336331464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901841260800).

4641336331464 is an abundant number, since it is smaller than the sum of its proper divisors (9162346190136).

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

4641336331464 is a wasteful number, since it uses less digits than its factorization.

4641336331464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26740 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The spelling of 4641336331464 in words is "four trillion, six hundred forty-one billion, three hundred thirty-six million, three hundred thirty-one thousand, four hundred sixty-four".