1321497089640 has 1152 divisors, whose sum is σ = 5893822116000. Its totient is φ = 253349462016.

The previous prime is 1321497089579. The next prime is 1321497089677. The reversal of 1321497089640 is 469807941231.

1321497089640 is a `hidden beast` number, since 1 + 3 + 21 + 497 + 0 + 8 + 96 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 462201461316 + 859295628324 = 679854^2 + 926982^2 .

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 113048916 + ... + 113060604.

Almost surely, 2^{1321497089640} is an apocalyptic number.

1321497089640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321497089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946911058000).

1321497089640 is an abundant number, since it is smaller than the sum of its proper divisors (4572325026360).

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

1321497089640 is a wasteful number, since it uses less digits than its factorization.

1321497089640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1321497089640 in words is "one trillion, three hundred twenty-one billion, four hundred ninety-seven million, eighty-nine thousand, six hundred forty".