5140416960 has 336 divisors, whose sum is σ = 20404141056. Its totient is φ = 1163483136.

The previous prime is 5140416937. The next prime is 5140416979. The reversal of 5140416960 is 696140415.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2155929 + ... + 2158311.

Almost surely, 2^5140416960 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 5140416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202070528).

5140416960 is an abundant number, since it is smaller than the sum of its proper divisors (15263724096).

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

5140416960 is a wasteful number, since it uses less digits than its factorization.

5140416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5140416960 is about 71696.7011793430. The cubic root of 5140416960 is about 1725.8357034455.

The spelling of 5140416960 in words is "five billion, one hundred forty million, four hundred sixteen thousand, nine hundred sixty".