5476144128 has 352 divisors, whose sum is σ = 18928035840. Its totient is φ = 1366917120.

The previous prime is 5476144117. The next prime is 5476144133. The reversal of 5476144128 is 8214416745.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5476144128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5310973 + ... + 5312003.

Almost surely, 2^5476144128 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 5476144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464017920).

5476144128 is an abundant number, since it is smaller than the sum of its proper divisors (13451891712).

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

5476144128 is a wasteful number, since it uses less digits than its factorization.

5476144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1075 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 5476144128 is about 74000.9738314301. The cubic root of 5476144128 is about 1762.6183616704.

It can be divided in two parts, 54761 and 44128, that added together give a palindrome (98889).

The spelling of 5476144128 in words is "five billion, four hundred seventy-six million, one hundred forty-four thousand, one hundred twenty-eight".