7114013245440 has 768 divisors, whose sum is σ = 26800186982400. Its totient is φ = 1739037081600.

The previous prime is 7114013245411. The next prime is 7114013245513. The reversal of 7114013245440 is 445423104117.

7114013245440 is a `hidden beast` number, since 7 + 1 + 1 + 40 + 132 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7114013245395 and 7114013245404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 868511745 + ... + 868519935.

It is an arithmetic number, because the mean of its divisors is an integer number (34896076800).

Almost surely, 2^{7114013245440} 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 7114013245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400093491200).

7114013245440 is an abundant number, since it is smaller than the sum of its proper divisors (19686173736960).

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

7114013245440 is a wasteful number, since it uses less digits than its factorization.

7114013245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8282 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 7114013245440 its reverse (445423104117), we get a palindrome (7559436349557).

The spelling of 7114013245440 in words is "seven trillion, one hundred fourteen billion, thirteen million, two hundred forty-five thousand, four hundred forty".