4234429440 has 176 divisors, whose sum is σ = 15048888960. Its totient is φ = 1129144320.

The previous prime is 4234429439. The next prime is 4234429477. The reversal of 4234429440 is 449244324.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4234429395 and 4234429404.

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 15 ways as a sum of consecutive naturals, for example, 122925 + ... + 153555.

Almost surely, 2^4234429440 is an apocalyptic number.

4234429440 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 4234429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524444480).

4234429440 is an abundant number, since it is smaller than the sum of its proper divisors (10814459520).

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

4234429440 is a wasteful number, since it uses less digits than its factorization.

4234429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30665 (or 30641 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4234429440 is about 65072.4937281491. The cubic root of 4234429440 is about 1617.8253399677.

The spelling of 4234429440 in words is "four billion, two hundred thirty-four million, four hundred twenty-nine thousand, four hundred forty".