464514312107440 has 240 divisors, whose sum is σ = 1282242045542400. Its totient is φ = 156007903274496.

The previous prime is 464514312107317. The next prime is 464514312107441. The reversal of 464514312107440 is 44701213415464.

It is not an unprimeable number, because it can be changed into a prime (464514312107441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33423921 + ... + 45234799.

It is an arithmetic number, because the mean of its divisors is an integer number (5342675189760).

Almost surely, 2^{464514312107440} is an apocalyptic number.

464514312107440 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 464514312107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641121022771200).

464514312107440 is an abundant number, since it is smaller than the sum of its proper divisors (817727733434960).

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

464514312107440 is a wasteful number, since it uses less digits than its factorization.

464514312107440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11811112 (or 11811099 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 464514312107440 in words is "four hundred sixty-four trillion, five hundred fourteen billion, three hundred twelve million, one hundred seven thousand, four hundred forty".