5414041200 has 120 divisors (see below), whose sum is σ = 17381030400. Its totient is φ = 1440577280.

The previous prime is 5414041183. The next prime is 5414041247. The reversal of 5414041200 is 21404145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 570091 + ... + 579509.

It is an arithmetic number, because the mean of its divisors is an integer number (144841920).

Almost surely, 2^5414041200 is an apocalyptic number.

5414041200 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 5414041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690515200).

5414041200 is an abundant number, since it is smaller than the sum of its proper divisors (11966989200).

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

5414041200 is a wasteful number, since it uses less digits than its factorization.

5414041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5414041200 is about 73580.1685238625. The cubic root of 5414041200 is about 1755.9299460260.

Adding to 5414041200 its reverse (21404145), we get a palindrome (5435445345).

The spelling of 5414041200 in words is "five billion, four hundred fourteen million, forty-one thousand, two hundred".