464514233766440 has 192 divisors, whose sum is σ = 1237290061729680. Its totient is φ = 155906849894400.

The previous prime is 464514233766439. The next prime is 464514233766467. The reversal of 464514233766440 is 44667332415464.

It can be written as a sum of positive squares in 8 ways, for example, as 3900996308836 + 460613237457604 = 1975094^2 + 21461902^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 464514233766440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711991262 + ... + 712643378.

Almost surely, 2^{464514233766440} is an apocalyptic number.

464514233766440 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 464514233766440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618645030864840).

464514233766440 is an abundant number, since it is smaller than the sum of its proper divisors (772775827963240).

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

464514233766440 is a wasteful number, since it uses less digits than its factorization.

464514233766440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663484 (or 663469 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 59.

The spelling of 464514233766440 in words is "four hundred sixty-four trillion, five hundred fourteen billion, two hundred thirty-three million, seven hundred sixty-six thousand, four hundred forty".