4304442013040 has 80 divisors (see below), whose sum is σ = 10914086870400. Its totient is φ = 1569214273536.

The previous prime is 4304442013033. The next prime is 4304442013073. The reversal of 4304442013040 is 403102444034.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4304442012994 and 4304442013012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26113325 + ... + 26277644.

It is an arithmetic number, because the mean of its divisors is an integer number (136426085880).

Almost surely, 2^{4304442013040} is an apocalyptic number.

4304442013040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4304442013040 is an abundant number, since it is smaller than the sum of its proper divisors (6609644857360).

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

4304442013040 is a wasteful number, since it uses less digits than its factorization.

4304442013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52391074 (or 52391068 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4304442013040 its reverse (403102444034), we get a palindrome (4707544457074).

The spelling of 4304442013040 in words is "four trillion, three hundred four billion, four hundred forty-two million, thirteen thousand, forty".