5105418240 has 512 divisors, whose sum is σ = 19025072640. Its totient is φ = 1157627904.

The previous prime is 5105418209. The next prime is 5105418247. The reversal of 5105418240 is 428145015.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5105418198 and 5105418207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105418247) 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, 108625897 + ... + 108625943.

It is an arithmetic number, because the mean of its divisors is an integer number (37158345).

Almost surely, 2^5105418240 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 5105418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512536320).

5105418240 is an abundant number, since it is smaller than the sum of its proper divisors (13919654400).

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

5105418240 is a wasteful number, since it uses less digits than its factorization.

5105418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5105418240 is about 71452.2094829824. The cubic root of 5105418240 is about 1721.9099749111.

The spelling of 5105418240 in words is "five billion, one hundred five million, four hundred eighteen thousand, two hundred forty".