713416429440 has 2688 divisors, whose sum is σ = 3277501103520. Its totient is φ = 146193776640.

The previous prime is 713416429409. The next prime is 713416429501. The reversal of 713416429440 is 44924614317.

713416429440 is a `hidden beast` number, since 71 + 3 + 416 + 42 + 94 + 40 = 666.

713416429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19281525102 + ... + 19281525138.

Almost surely, 2^713416429440 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 713416429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638750551760).

713416429440 is an abundant number, since it is smaller than the sum of its proper divisors (2564084674080).

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

713416429440 is a wasteful number, since it uses less digits than its factorization.

713416429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

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

The spelling of 713416429440 in words is "seven hundred thirteen billion, four hundred sixteen million, four hundred twenty-nine thousand, four hundred forty".