5034414400 has 84 divisors (see below), whose sum is σ = 12651565248. Its totient is φ = 1970890240.

The previous prime is 5034414397. The next prime is 5034414419. The reversal of 5034414400 is 44144305.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41727 + ... + 108673.

It is an arithmetic number, because the mean of its divisors is an integer number (150613872).

Almost surely, 2^5034414400 is an apocalyptic number.

5034414400 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 5034414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325782624).

5034414400 is an abundant number, since it is smaller than the sum of its proper divisors (7617150848).

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

5034414400 is a wasteful number, since it uses less digits than its factorization.

5034414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67016 (or 67001 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5034414400 is about 70953.6073783426. The cubic root of 5034414400 is about 1713.8901664117.

Adding to 5034414400 its reverse (44144305), we get a palindrome (5078558705).

The spelling of 5034414400 in words is "five billion, thirty-four million, four hundred fourteen thousand, four hundred".