4312045440 has 576 divisors, whose sum is σ = 16590646800. Its totient is φ = 1028505600.

The previous prime is 4312045417. The next prime is 4312045447. The reversal of 4312045440 is 445402134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312045447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105171820 + ... + 105171860.

Almost surely, 2^4312045440 is an apocalyptic number.

4312045440 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 4312045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295323400).

4312045440 is an abundant number, since it is smaller than the sum of its proper divisors (12278601360).

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

4312045440 is a wasteful number, since it uses less digits than its factorization.

4312045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4312045440 is about 65666.1666309219. The cubic root of 4312045440 is about 1627.6503262505.

Adding to 4312045440 its reverse (445402134), we get a palindrome (4757447574).

The spelling of 4312045440 in words is "four billion, three hundred twelve million, forty-five thousand, four hundred forty".