1321138733376 has 448 divisors, whose sum is σ = 4608412139520. Its totient is φ = 323979264000.

The previous prime is 1321138733309. The next prime is 1321138733399. The reversal of 1321138733376 is 6733378311231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18755310 + ... + 18825618.

It is an arithmetic number, because the mean of its divisors is an integer number (10286634240).

Almost surely, 2^{1321138733376} is an apocalyptic number.

1321138733376 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 1321138733376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304206069760).

1321138733376 is an abundant number, since it is smaller than the sum of its proper divisors (3287273406144).

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

1321138733376 is a wasteful number, since it uses less digits than its factorization.

1321138733376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70414 (or 70404 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The spelling of 1321138733376 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-eight million, seven hundred thirty-three thousand, three hundred seventy-six".