4662314726440 has 256 divisors, whose sum is σ = 12751689646080. Its totient is φ = 1500199418880.

The previous prime is 4662314726423. The next prime is 4662314726449. The reversal of 4662314726440 is 446274132664.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4662314726449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98572477 + ... + 98619763.

It is an arithmetic number, because the mean of its divisors is an integer number (49811287680).

Almost surely, 2^{4662314726440} is an apocalyptic number.

4662314726440 is a gapful number since it is divisible by the number (40) 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 4662314726440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375844823040).

4662314726440 is an abundant number, since it is smaller than the sum of its proper divisors (8089374919640).

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

4662314726440 is a wasteful number, since it uses less digits than its factorization.

4662314726440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47680 (or 47676 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 49.

The spelling of 4662314726440 in words is "four trillion, six hundred sixty-two billion, three hundred fourteen million, seven hundred twenty-six thousand, four hundred forty".