5141608416 has 576 divisors, whose sum is σ = 18618163200. Its totient is φ = 1341204480.

The previous prime is 5141608397. The next prime is 5141608441. The reversal of 5141608416 is 6148061415.

5141608416 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 608 + 41 + 6 = 666.

It is a super-2 number, since 2×5141608416² = 52872274206964058112, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 70432956 + ... + 70433028.

It is an arithmetic number, because the mean of its divisors is an integer number (32323200).

Almost surely, 2^5141608416 is an apocalyptic number.

5141608416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141608416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309081600).

5141608416 is an abundant number, since it is smaller than the sum of its proper divisors (13476554784).

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

5141608416 is a wasteful number, since it uses less digits than its factorization.

5141608416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5141608416 is about 71705.0096994624. The cubic root of 5141608416 is about 1725.9690323481.

The spelling of 5141608416 in words is "five billion, one hundred forty-one million, six hundred eight thousand, four hundred sixteen".