5414081400 has 288 divisors, whose sum is σ = 22378880160. Its totient is φ = 1142277120.

The previous prime is 5414081363. The next prime is 5414081429. The reversal of 5414081400 is 41804145.

It is a happy number.

5414081400 is a `hidden beast` number, since 541 + 4 + 0 + 81 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147274 + ... + 180326.

It is an arithmetic number, because the mean of its divisors is an integer number (77704445).

Almost surely, 2^5414081400 is an apocalyptic number.

5414081400 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 5414081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189440080).

5414081400 is an abundant number, since it is smaller than the sum of its proper divisors (16964798760).

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

5414081400 is a wasteful number, since it uses less digits than its factorization.

5414081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33095 (or 33083 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5414081400 is about 73580.4416947873. The cubic root of 5414081400 is about 1755.9342920223.

Adding to 5414081400 its reverse (41804145), we get a palindrome (5455885545).

The spelling of 5414081400 in words is "five billion, four hundred fourteen million, eighty-one thousand, four hundred".