712743424651440 has 2560 divisors, whose sum is σ = 3254775014400000. Its totient is φ = 142453034422272.

The previous prime is 712743424651411. The next prime is 712743424651471. The reversal of 712743424651440 is 44156424347217.

712743424651440 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 4 + 3 + 42 + 46 + 514 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 66062041566 + ... + 66062052354.

It is an arithmetic number, because the mean of its divisors is an integer number (1271396490000).

Almost surely, 2^{712743424651440} is an apocalyptic number.

712743424651440 is a gapful number since it is divisible by the number (70) 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 712743424651440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627387507200000).

712743424651440 is an abundant number, since it is smaller than the sum of its proper divisors (2542031589748560).

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

712743424651440 is a wasteful number, since it uses less digits than its factorization.

712743424651440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10902 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

Adding to 712743424651440 its reverse (44156424347217), we get a palindrome (756899848998657).

The spelling of 712743424651440 in words is "seven hundred twelve trillion, seven hundred forty-three billion, four hundred twenty-four million, six hundred fifty-one thousand, four hundred forty".