4001340013344 has 144 divisors (see below), whose sum is σ = 12313302910272. Its totient is φ = 1275789512448.

The previous prime is 4001340013327. The next prime is 4001340013351. The reversal of 4001340013344 is 4433100431004.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11007579 + ... + 11365274.

It is an arithmetic number, because the mean of its divisors is an integer number (85509047988).

Almost surely, 2^{4001340013344} is an apocalyptic number.

It is an amenable number.

4001340013344 is an abundant number, since it is smaller than the sum of its proper divisors (8311962896928).

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

4001340013344 is a wasteful number, since it uses less digits than its factorization.

4001340013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22372901 (or 22372881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4001340013344 its reverse (4433100431004), we get a palindrome (8434440444348).

The spelling of 4001340013344 in words is "four trillion, one billion, three hundred forty million, thirteen thousand, three hundred forty-four".