4234742400 has 768 divisors, whose sum is σ = 17211398400. Its totient is φ = 894566400.

The previous prime is 4234742377. The next prime is 4234742423. The reversal of 4234742400 is 42474324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4234742377) and next prime (4234742423).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 79900774 + ... + 79900826.

It is an arithmetic number, because the mean of its divisors is an integer number (22410675).

Almost surely, 2^4234742400 is an apocalyptic number.

4234742400 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 4234742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8605699200).

4234742400 is an abundant number, since it is smaller than the sum of its proper divisors (12976656000).

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

4234742400 is a wasteful number, since it uses less digits than its factorization.

4234742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 4234742400 is about 65074.8983863978. The cubic root of 4234742400 is about 1617.8651959587.

The spelling of 4234742400 in words is "four billion, two hundred thirty-four million, seven hundred forty-two thousand, four hundred".