5143461120 has 720 divisors, whose sum is σ = 22199802240. Its totient is φ = 1110786048.

The previous prime is 5143461119. The next prime is 5143461133. The reversal of 5143461120 is 211643415.

It is a happy number.

5143461120 is a `hidden beast` number, since 5 + 1 + 43 + 4 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×5143461120³ (a number of 30 digits) contains 333 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789254 + ... + 13789626.

Almost surely, 2^5143461120 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 5143461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099901120).

5143461120 is an abundant number, since it is smaller than the sum of its proper divisors (17056341120).

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

5143461120 is a wasteful number, since it uses less digits than its factorization.

5143461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5143461120 is about 71717.9274658715. The cubic root of 5143461120 is about 1726.1763167531.

The spelling of 5143461120 in words is "five billion, one hundred forty-three million, four hundred sixty-one thousand, one hundred twenty".