5514432400 has 60 divisors (see below), whose sum is σ = 13263464452. Its totient is φ = 2203269120.

The previous prime is 5514432349. The next prime is 5514432401. The reversal of 5514432400 is 42344155.

It can be written as a sum of positive squares in 6 ways, for example, as 460359936 + 5054072464 = 21456^2 + 71092^2 .

It is not an unprimeable number, because it can be changed into a prime (5514432401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367444 + ... + 382156.

Almost surely, 2^5514432400 is an apocalyptic number.

5514432400 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 5514432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631732226).

5514432400 is an abundant number, since it is smaller than the sum of its proper divisors (7749032052).

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

5514432400 is a wasteful number, since it uses less digits than its factorization.

5514432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15668 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 5514432400 is about 74259.2243428384. The cubic root of 5514432400 is about 1766.7168009190.

Adding to 5514432400 its reverse (42344155), we get a palindrome (5556776555).

The spelling of 5514432400 in words is "five billion, five hundred fourteen million, four hundred thirty-two thousand, four hundred".