1314521040 has 120 divisors (see below), whose sum is σ = 4740366240. Its totient is φ = 300459264.

The previous prime is 1314521029. The next prime is 1314521041. The reversal of 1314521040 is 401254131.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 1314520998 and 1314521016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314521041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44130 + ... + 67649.

It is an arithmetic number, because the mean of its divisors is an integer number (39503052).

Almost surely, 2^1314521040 is an apocalyptic number.

1314521040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314521040 is an abundant number, since it is smaller than the sum of its proper divisors (3425845200).

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

1314521040 is a wasteful number, since it uses less digits than its factorization.

1314521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111809 (or 111796 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1314521040 is about 36256.3241380038. The cubic root of 1314521040 is about 1095.4414766615.

Adding to 1314521040 its reverse (401254131), we get a palindrome (1715775171).

The spelling of 1314521040 in words is "one billion, three hundred fourteen million, five hundred twenty-one thousand, forty".