814641401280 has 1344 divisors, whose sum is σ = 3285561802752. Its totient is φ = 169999441920.

The previous prime is 814641401261. The next prime is 814641401339. The reversal of 814641401280 is 82104146418.

It is a happy number.

814641401280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×814641401280² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3588728527 + ... + 3588728753.

Almost surely, 2^814641401280 is an apocalyptic number.

814641401280 is a gapful number since it is divisible by the number (80) 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 814641401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642780901376).

814641401280 is an abundant number, since it is smaller than the sum of its proper divisors (2470920401472).

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

814641401280 is a wasteful number, since it uses less digits than its factorization.

814641401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

Adding to 814641401280 its reverse (82104146418), we get a palindrome (896745547698).

The spelling of 814641401280 in words is "eight hundred fourteen billion, six hundred forty-one million, four hundred one thousand, two hundred eighty".