5400110400 has 168 divisors, whose sum is σ = 18008278944. Its totient is φ = 1416345600.

The previous prime is 5400110399. The next prime is 5400110459. The reversal of 5400110400 is 40110045.

It is a super-2 number, since 2×5400110400² = 58322384664376320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5400110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283579 + ... + 302021.

Almost surely, 2^5400110400 is an apocalyptic number.

5400110400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004139472).

5400110400 is an abundant number, since it is smaller than the sum of its proper divisors (12608168544).

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

5400110400 is a wasteful number, since it uses less digits than its factorization.

5400110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18529 (or 18514 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5400110400 is about 73485.4434565105. The cubic root of 5400110400 is about 1754.4225988299.

Adding to 5400110400 its reverse (40110045), we get a palindrome (5440220445).

The spelling of 5400110400 in words is "five billion, four hundred million, one hundred ten thousand, four hundred".