5140405105104 has 160 divisors (see below), whose sum is σ = 13809039200640. Its totient is φ = 1646665353216.

The previous prime is 5140405105093. The next prime is 5140405105177. The reversal of 5140405105104 is 4015015040415.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 41514774 + ... + 41638410.

It is an arithmetic number, because the mean of its divisors is an integer number (86306495004).

Almost surely, 2^{5140405105104} 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 5140405105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904519600320).

5140405105104 is an abundant number, since it is smaller than the sum of its proper divisors (8668634095536).

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

5140405105104 is a wasteful number, since it uses less digits than its factorization.

5140405105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124037 (or 124031 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 5140405105104 in words is "five trillion, one hundred forty billion, four hundred five million, one hundred five thousand, one hundred four".