5114004517440 has 3024 divisors, whose sum is σ = 23713138126080. Its totient is φ = 1027118776320.

The previous prime is 5114004517423. The next prime is 5114004517441. The reversal of 5114004517440 is 447154004115.

5114004517440 is a `hidden beast` number, since 5 + 1 + 1 + 400 + 45 + 174 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 = 5114004517395 and 5114004517404.

It is not an unprimeable number, because it can be changed into a prime (5114004517441) 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 431 ways as a sum of consecutive naturals, for example, 72028232605 + ... + 72028232675.

Almost surely, 2^{5114004517440} 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 5114004517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856569063040).

5114004517440 is an abundant number, since it is smaller than the sum of its proper divisors (18599133608640).

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

5114004517440 is an equidigital number, since it uses as much as digits as its factorization.

5114004517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 5114004517440 in words is "five trillion, one hundred fourteen billion, four million, five hundred seventeen thousand, four hundred forty".