4742400000 has 576 divisors, whose sum is σ = 17914478400. Its totient is φ = 1105920000.

The previous prime is 4742399989. The next prime is 4742400029. The reversal of 4742400000 is 42474.

It is a self number, because there is not a number n which added to its sum of digits gives 4742400000.

It is a congruent number.

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, 249599991 + ... + 249600009.

It is an arithmetic number, because the mean of its divisors is an integer number (31101525).

Almost surely, 2^4742400000 is an apocalyptic number.

4742400000 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 4742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957239200).

4742400000 is an abundant number, since it is smaller than the sum of its proper divisors (13172078400).

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

4742400000 is an equidigital number, since it uses as much as digits as its factorization.

4742400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4742400000 is about 68865.0854933035. The cubic root of 4742400000 is about 1680.0906980512.

Adding to 4742400000 its reverse (42474), we get a palindrome (4742442474).

The spelling of 4742400000 in words is "four billion, seven hundred forty-two million, four hundred thousand".