4234010400 has 288 divisors, whose sum is σ = 15402139200. Its totient is φ = 1122508800.

The previous prime is 4234010399. The next prime is 4234010413. The reversal of 4234010400 is 40104324.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4557136 + ... + 4558064.

It is an arithmetic number, because the mean of its divisors is an integer number (53479650).

Almost surely, 2^4234010400 is an apocalyptic number.

4234010400 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 4234010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701069600).

4234010400 is an abundant number, since it is smaller than the sum of its proper divisors (11168128800).

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

4234010400 is a wasteful number, since it uses less digits than its factorization.

4234010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4234010400 is about 65069.2738548695. The cubic root of 4234010400 is about 1617.7719714321.

Adding to 4234010400 its reverse (40104324), we get a palindrome (4274114724).

The spelling of 4234010400 in words is "four billion, two hundred thirty-four million, ten thousand, four hundred".