5314400000 has 432 divisors, whose sum is σ = 16542566208. Its totient is φ = 1658880000.

The previous prime is 5314399969. The next prime is 5314400011. The reversal of 5314400000 is 44135.

It is a congruent number.

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, 72799964 + ... + 72800036.

Almost surely, 2^5314400000 is an apocalyptic number.

5314400000 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 5314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271283104).

5314400000 is an abundant number, since it is smaller than the sum of its proper divisors (11228166208).

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

5314400000 is an frugal number, since it uses more digits than its factorization.

5314400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 5314400000 is about 72899.9314128621. The cubic root of 5314400000 is about 1745.0910043589.

Adding to 5314400000 its reverse (44135), we get a palindrome (5314444135).

The spelling of 5314400000 in words is "five billion, three hundred fourteen million, four hundred thousand".