10821274813440 has 4224 divisors, whose sum is σ = 51450363095040. Its totient is φ = 2040470175744.

The previous prime is 10821274813337. The next prime is 10821274813451. The reversal of 10821274813440 is 4431847212801.

10821274813440 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 127 + 4 + 81 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 148236641244 + ... + 148236641316.

Almost surely, 2^{10821274813440} is an apocalyptic number.

10821274813440 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 10821274813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725181547520).

10821274813440 is an abundant number, since it is smaller than the sum of its proper divisors (40629088281600).

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

10821274813440 is a wasteful number, since it uses less digits than its factorization.

10821274813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10821274813440 in words is "ten trillion, eight hundred twenty-one billion, two hundred seventy-four million, eight hundred thirteen thousand, four hundred forty".