5414813416320 has 256 divisors, whose sum is σ = 21518609748480. Its totient is φ = 1125156003840.

The previous prime is 5414813416307. The next prime is 5414813416321. The reversal of 5414813416320 is 236143184145.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414813416321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18165247 + ... + 18460926.

It is an arithmetic number, because the mean of its divisors is an integer number (84057069330).

Almost surely, 2^{5414813416320} is an apocalyptic number.

It is an amenable number.

5414813416320 is an abundant number, since it is smaller than the sum of its proper divisors (16103796332160).

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

5414813416320 is a wasteful number, since it uses less digits than its factorization.

5414813416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36626213 (or 36626201 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 5414813416320 in words is "five trillion, four hundred fourteen billion, eight hundred thirteen million, four hundred sixteen thousand, three hundred twenty".