1321015064976 has 320 divisors, whose sum is σ = 4039182547200. Its totient is φ = 413363404800.

The previous prime is 1321015064969. The next prime is 1321015064981. The reversal of 1321015064976 is 6794605101231.

1321015064976 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 150 + 6 + 497 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1360468171 + ... + 1360469141.

It is an arithmetic number, because the mean of its divisors is an integer number (12622445460).

Almost surely, 2^{1321015064976} is an apocalyptic number.

1321015064976 is a gapful number since it is divisible by the number (16) 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 1321015064976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019591273600).

1321015064976 is an abundant number, since it is smaller than the sum of its proper divisors (2718167482224).

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

1321015064976 is an equidigital number, since it uses as much as digits as its factorization.

1321015064976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1321015064976 in words is "one trillion, three hundred twenty-one billion, fifteen million, sixty-four thousand, nine hundred seventy-six".