5413262400 has 1344 divisors, whose sum is σ = 26033333760. Its totient is φ = 1074954240.

The previous prime is 5413262381. The next prime is 5413262423. The reversal of 5413262400 is 42623145.

5413262400 is a `hidden beast` number, since 5 + 4 + 1 + 32 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5413262400² = 58606819622507520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 318427192 + ... + 318427208.

It is an arithmetic number, because the mean of its divisors is an integer number (19370040).

Almost surely, 2^5413262400 is an apocalyptic number.

5413262400 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 5413262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13016666880).

5413262400 is an abundant number, since it is smaller than the sum of its proper divisors (20620071360).

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

5413262400 is a wasteful number, since it uses less digits than its factorization.

5413262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5413262400 is about 73574.8761466847. The cubic root of 5413262400 is about 1755.8457462099.

Adding to 5413262400 its reverse (42623145), we get a palindrome (5455885545).

The spelling of 5413262400 in words is "five billion, four hundred thirteen million, two hundred sixty-two thousand, four hundred".