5406541140 has 192 divisors, whose sum is σ = 20325795840. Its totient is φ = 1037007360.

The previous prime is 5406541099. The next prime is 5406541193. The reversal of 5406541140 is 411456045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5406541098 and 5406541107.

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 63 ways as a sum of consecutive naturals, for example, 15051 + ... + 105069.

It is an arithmetic number, because the mean of its divisors is an integer number (105863520).

Almost surely, 2^5406541140 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 5406541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10162897920).

5406541140 is an abundant number, since it is smaller than the sum of its proper divisors (14919254700).

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

5406541140 is a wasteful number, since it uses less digits than its factorization.

5406541140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90062 (or 90060 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5406541140 is about 73529.1856340052. The cubic root of 5406541140 is about 1755.1187426252.

Adding to 5406541140 its reverse (411456045), we get a palindrome (5817997185).

The spelling of 5406541140 in words is "five billion, four hundred six million, five hundred forty-one thousand, one hundred forty".