814004083440 has 120 divisors (see below), whose sum is σ = 2821880899968. Its totient is φ = 210065564160.

The previous prime is 814004083429. The next prime is 814004083463. The reversal of 814004083440 is 44380400418.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 814004083395 and 814004083404.

It is a congruent number.

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, 18212539 + ... + 18257178.

Almost surely, 2^814004083440 is an apocalyptic number.

814004083440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814004083440 is an abundant number, since it is smaller than the sum of its proper divisors (2007876816528).

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

814004083440 is a wasteful number, since it uses less digits than its factorization.

814004083440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36469767 (or 36469758 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 814004083440 its reverse (44380400418), we get a palindrome (858384483858).

The spelling of 814004083440 in words is "eight hundred fourteen billion, four million, eighty-three thousand, four hundred forty".