5141211264 has 448 divisors, whose sum is σ = 18622621440. Its totient is φ = 1379524608.

The previous prime is 5141211259. The next prime is 5141211269. The reversal of 5141211264 is 4621121415.

5141211264 is a `hidden beast` number, since 514 + 1 + 21 + 126 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5141211259) and next prime (5141211269).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5141211264² = 52864106522160955392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5141211269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11103897 + ... + 11104359.

Almost surely, 2^5141211264 is an apocalyptic number.

5141211264 is a gapful number since it is divisible by the number (54) 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 5141211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311310720).

5141211264 is an abundant number, since it is smaller than the sum of its proper divisors (13481410176).

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

5141211264 is an equidigital number, since it uses as much as digits as its factorization.

5141211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 492 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5141211264 is about 71702.2402997284. The cubic root of 5141211264 is about 1725.9245916694.

Adding to 5141211264 its reverse (4621121415), we get a palindrome (9762332679).

The spelling of 5141211264 in words is "five billion, one hundred forty-one million, two hundred eleven thousand, two hundred sixty-four".