4012440432 has 480 divisors, whose sum is σ = 14538069504. Its totient is φ = 920678400.

The previous prime is 4012440409. The next prime is 4012440461. The reversal of 4012440432 is 2340442104.

It is a happy number.

It is a super-3 number, since 3×4012440432³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 65777682 + ... + 65777742.

Almost surely, 2^4012440432 is an apocalyptic number.

4012440432 is a gapful number since it is divisible by the number (42) 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 4012440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269034752).

4012440432 is an abundant number, since it is smaller than the sum of its proper divisors (10525629072).

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

4012440432 is a wasteful number, since it uses less digits than its factorization.

4012440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4012440432 is about 63343.8271025678. The cubic root of 4012440432 is about 1589.0450117504.

Adding to 4012440432 its reverse (2340442104), we get a palindrome (6352882536).

It can be divided in two parts, 4012 and 440432, that added together give a palindrome (444444).

The spelling of 4012440432 in words is "four billion, twelve million, four hundred forty thousand, four hundred thirty-two".