5141294784 has 84 divisors (see below), whose sum is σ = 14774006520. Its totient is φ = 1709414400.

The previous prime is 5141294779. The next prime is 5141294803. The reversal of 5141294784 is 4874921415.

5141294784 is a `hidden beast` number, since 51 + 4 + 129 + 478 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219847 + ... + 242105.

It is an arithmetic number, because the mean of its divisors is an integer number (175881030).

Almost surely, 2^5141294784 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 5141294784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387003260).

5141294784 is an abundant number, since it is smaller than the sum of its proper divisors (9632711736).

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

5141294784 is a wasteful number, since it uses less digits than its factorization.

5141294784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22678 (or 22665 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5141294784 is about 71702.8227059437. The cubic root of 5141294784 is about 1725.9339376149.

It can be divided in two parts, 5141 and 294784, that added together give a triangular number (299925 = T₇₇₄).

The spelling of 5141294784 in words is "five billion, one hundred forty-one million, two hundred ninety-four thousand, seven hundred eighty-four".