716234941440 has 528 divisors, whose sum is σ = 2562830899200. Its totient is φ = 184812503040.

The previous prime is 716234941361. The next prime is 716234941441. The reversal of 716234941440 is 44149432617.

716234941440 is a `hidden beast` number, since 7 + 1 + 623 + 4 + 9 + 4 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (716234941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339285985 + ... + 339288095.

It is an arithmetic number, because the mean of its divisors is an integer number (4853846400).

Almost surely, 2^716234941440 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 716234941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281415449600).

716234941440 is an abundant number, since it is smaller than the sum of its proper divisors (1846595957760).

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

716234941440 is a wasteful number, since it uses less digits than its factorization.

716234941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 716234941440 in words is "seven hundred sixteen billion, two hundred thirty-four million, nine hundred forty-one thousand, four hundred forty".