1215431440000 has 80 divisors (see below), whose sum is σ = 3025740804570. Its totient is φ = 486172544000.

The previous prime is 1215431439967. The next prime is 1215431440009. The reversal of 1215431440000 is 441345121.

It can be written as a sum of positive squares in 5 ways, for example, as 6117742656 + 1209313697344 = 78216^2 + 1099688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1215431440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7516447 + ... + 7676446.

Almost surely, 2^{1215431440000} is an apocalyptic number.

1215431440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1215431440000 is an abundant number, since it is smaller than the sum of its proper divisors (1810309364570).

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

1215431440000 is an frugal number, since it uses more digits than its factorization.

1215431440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192927 (or 15192900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1215431440000 its reverse (441345121), we get a palindrome (1215872785121).

The spelling of 1215431440000 in words is "one trillion, two hundred fifteen billion, four hundred thirty-one million, four hundred forty thousand".