5418662400 has 240 divisors, whose sum is σ = 19890393600. Its totient is φ = 1444884480.

The previous prime is 5418662363. The next prime is 5418662401. The reversal of 5418662400 is 42668145.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5418662401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 337761 + ... + 353439.

It is an arithmetic number, because the mean of its divisors is an integer number (82876640).

Almost surely, 2^5418662400 is an apocalyptic number.

5418662400 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 5418662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945196800).

5418662400 is an abundant number, since it is smaller than the sum of its proper divisors (14471731200).

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

5418662400 is a wasteful number, since it uses less digits than its factorization.

5418662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15716 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5418662400 is about 73611.5643088774. The cubic root of 5418662400 is about 1756.4294001630.

The spelling of 5418662400 in words is "five billion, four hundred eighteen million, six hundred sixty-two thousand, four hundred".