4744414400 has 336 divisors, whose sum is σ = 13704917472. Its totient is φ = 1597440000.

The previous prime is 4744414393. The next prime is 4744414427. The reversal of 4744414400 is 44144474.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30219122 + ... + 30219278.

Almost surely, 2^4744414400 is an apocalyptic number.

4744414400 is a gapful number since it is divisible by the number (40) 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 4744414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852458736).

4744414400 is an abundant number, since it is smaller than the sum of its proper divisors (8960503072).

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

4744414400 is a wasteful number, since it uses less digits than its factorization.

4744414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 32.

The square root of 4744414400 is about 68879.7096393415. The cubic root of 4744414400 is about 1680.3285449662.

Adding to 4744414400 its reverse (44144474), we get a palindrome (4788558874).

The spelling of 4744414400 in words is "four billion, seven hundred forty-four million, four hundred fourteen thousand, four hundred".