5400610040 has 128 divisors (see below), whose sum is σ = 14147481600. Its totient is φ = 1817164800.

The previous prime is 5400610009. The next prime is 5400610049. The reversal of 5400610040 is 400160045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5400609994 and 5400610021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400610049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8985740 + ... + 8986340.

It is an arithmetic number, because the mean of its divisors is an integer number (110527200).

Almost surely, 2^5400610040 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 5400610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073740800).

5400610040 is an abundant number, since it is smaller than the sum of its proper divisors (8746871560).

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

5400610040 is a wasteful number, since it uses less digits than its factorization.

5400610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5400610040 is about 73488.8429627246. The cubic root of 5400610040 is about 1754.4767059134.

Adding to 5400610040 its reverse (400160045), we get a palindrome (5800770085).

It can be divided in two parts, 54006 and 10040, that added together give a palindrome (64046).

The spelling of 5400610040 in words is "five billion, four hundred million, six hundred ten thousand, forty".