1504340312340 has 96 divisors (see below), whose sum is σ = 4233679761024. Its totient is φ = 399108648960.

The previous prime is 1504340312329. The next prime is 1504340312357. The reversal of 1504340312340 is 432130434051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1504340312298 and 1504340312307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36655512 + ... + 36696528.

It is an arithmetic number, because the mean of its divisors is an integer number (44100830844).

Almost surely, 2^{1504340312340} is an apocalyptic number.

1504340312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1504340312340 is an abundant number, since it is smaller than the sum of its proper divisors (2729339448684).

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

1504340312340 is a wasteful number, since it uses less digits than its factorization.

1504340312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44137 (or 44135 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1504340312340 its reverse (432130434051), we get a palindrome (1936470746391).

The spelling of 1504340312340 in words is "one trillion, five hundred four billion, three hundred forty million, three hundred twelve thousand, three hundred forty".