4401315434340 has 144 divisors (see below), whose sum is σ = 14653705824576. Its totient is φ = 1060439558400.

The previous prime is 4401315434339. The next prime is 4401315434353. The reversal of 4401315434340 is 434345131044.

4401315434340 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 31 + 543 + 43 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4401315434295 and 4401315434304.

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 47 ways as a sum of consecutive naturals, for example, 6495931 + ... + 7141410.

It is an arithmetic number, because the mean of its divisors is an integer number (101761846004).

Almost surely, 2^{4401315434340} is an apocalyptic number.

It is an amenable number.

4401315434340 is an abundant number, since it is smaller than the sum of its proper divisors (10252390390236).

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

4401315434340 is a wasteful number, since it uses less digits than its factorization.

4401315434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13637530 (or 13637525 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 4401315434340 in words is "four trillion, four hundred one billion, three hundred fifteen million, four hundred thirty-four thousand, three hundred forty".