5014214400 has 216 divisors, whose sum is σ = 17821758640. Its totient is φ = 1234206720.

The previous prime is 5014214393. The next prime is 5014214417. The reversal of 5014214400 is 44124105.

It is a happy number.

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, 239556 + ... + 259644.

Almost surely, 2^5014214400 is an apocalyptic number.

5014214400 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 5014214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910879320).

5014214400 is an abundant number, since it is smaller than the sum of its proper divisors (12807544240).

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

5014214400 is a wasteful number, since it uses less digits than its factorization.

5014214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20112 counting only the distinct ones).

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

The square root of 5014214400 is about 70811.1177711523. The cubic root of 5014214400 is about 1711.5948323517.

Adding to 5014214400 its reverse (44124105), we get a palindrome (5058338505).

The spelling of 5014214400 in words is "five billion, fourteen million, two hundred fourteen thousand, four hundred".