5210414400000 has 480 divisors, whose sum is σ = 17416227540096. Its totient is φ = 1384140800000.

The previous prime is 5210414399977. The next prime is 5210414400041. The reversal of 5210414400000 is 44140125.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 5210414400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348798069 + ... + 1348801931.

Almost surely, 2^{5210414400000} is an apocalyptic number.

5210414400000 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 5210414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708113770048).

5210414400000 is an abundant number, since it is smaller than the sum of its proper divisors (12205813140096).

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

5210414400000 is an frugal number, since it uses more digits than its factorization.

5210414400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4154 counting only the distinct ones).

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

Adding to 5210414400000 its reverse (44140125), we get a palindrome (5210458540125).

The spelling of 5210414400000 in words is "five trillion, two hundred ten billion, four hundred fourteen million, four hundred thousand".