712365313440 has 432 divisors, whose sum is σ = 2548821818592. Its totient is φ = 167110732800.

The previous prime is 712365313421. The next prime is 712365313453. The reversal of 712365313440 is 44313563217.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55808499 + ... + 55821261.

It is an arithmetic number, because the mean of its divisors is an integer number (5900050506).

Almost surely, 2^712365313440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712365313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274410909296).

712365313440 is an abundant number, since it is smaller than the sum of its proper divisors (1836456505152).

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

712365313440 is a wasteful number, since it uses less digits than its factorization.

712365313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12865 (or 12815 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

Adding to 712365313440 its reverse (44313563217), we get a palindrome (756678876657).

The spelling of 712365313440 in words is "seven hundred twelve billion, three hundred sixty-five million, three hundred thirteen thousand, four hundred forty".