5414318891520 has 1280 divisors, whose sum is σ = 23043349131264. Its totient is φ = 1058635776000.

The previous prime is 5414318891467. The next prime is 5414318891549. The reversal of 5414318891520 is 251988134145.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1216425295 + ... + 1216429745.

Almost surely, 2^{5414318891520} 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 5414318891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521674565632).

5414318891520 is an abundant number, since it is smaller than the sum of its proper divisors (17629030239744).

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

5414318891520 is a wasteful number, since it uses less digits than its factorization.

5414318891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 5414318891520 in words is "five trillion, four hundred fourteen billion, three hundred eighteen million, eight hundred ninety-one thousand, five hundred twenty".