5481123840 has 312 divisors, whose sum is σ = 19228274208. Its totient is φ = 1444085760.

The previous prime is 5481123821. The next prime is 5481123877. The reversal of 5481123840 is 483211845.

5481123840 is a `hidden beast` number, since 548 + 11 + 23 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5481123795 and 5481123804.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24145807 + ... + 24146033.

It is an arithmetic number, because the mean of its divisors is an integer number (61629084).

Almost surely, 2^5481123840 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 5481123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9614137104).

5481123840 is an abundant number, since it is smaller than the sum of its proper divisors (13747150368).

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

5481123840 is a wasteful number, since it uses less digits than its factorization.

5481123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5481123840 is about 74034.6124458013. The cubic root of 5481123840 is about 1763.1524766973.

The spelling of 5481123840 in words is "five billion, four hundred eighty-one million, one hundred twenty-three thousand, eight hundred forty".