1540314504320 has 64 divisors (see below), whose sum is σ = 3842415023040. Its totient is φ = 589337717760.

The previous prime is 1540314504277. The next prime is 1540314504329. The reversal of 1540314504320 is 234054130451.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1540314504329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52305746 + ... + 52335185.

It is an arithmetic number, because the mean of its divisors is an integer number (60037734735).

Almost surely, 2^{1540314504320} is an apocalyptic number.

1540314504320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540314504320 is an abundant number, since it is smaller than the sum of its proper divisors (2302100518720).

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

1540314504320 is a wasteful number, since it uses less digits than its factorization.

1540314504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104640973 (or 104640961 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 1540314504320 its reverse (234054130451), we get a palindrome (1774368634771).

The spelling of 1540314504320 in words is "one trillion, five hundred forty billion, three hundred fourteen million, five hundred four thousand, three hundred twenty".