4641340431464 has 96 divisors (see below), whose sum is σ = 9667492551360. Its totient is φ = 2087288501760.

The previous prime is 4641340431439. The next prime is 4641340431473.

It is a happy number.

4641340431464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61545509 + ... + 61620875.

It is an arithmetic number, because the mean of its divisors is an integer number (100703047410).

Almost surely, 2^{4641340431464} is an apocalyptic number.

4641340431464 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 4641340431464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4833746275680).

4641340431464 is an abundant number, since it is smaller than the sum of its proper divisors (5026152119896).

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

4641340431464 is a wasteful number, since it uses less digits than its factorization.

4641340431464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76071 (or 76056 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 4641340431464 in words is "four trillion, six hundred forty-one billion, three hundred forty million, four hundred thirty-one thousand, four hundred sixty-four".