10844028863640 has 384 divisors, whose sum is σ = 40431970575360. Its totient is φ = 2469167649792.

The previous prime is 10844028863621. The next prime is 10844028863663. The reversal of 10844028863640 is 4636882044801.

It is a happy number.

10844028863640 is a `hidden beast` number, since 1 + 0 + 8 + 440 + 2 + 88 + 63 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720382354 + ... + 720397406.

It is an arithmetic number, because the mean of its divisors is an integer number (105291590040).

Almost surely, 2^{10844028863640} is an apocalyptic number.

10844028863640 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 10844028863640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215985287680).

10844028863640 is an abundant number, since it is smaller than the sum of its proper divisors (29587941711720).

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

10844028863640 is a wasteful number, since it uses less digits than its factorization.

10844028863640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 10844028863640 in words is "ten trillion, eight hundred forty-four billion, twenty-eight million, eight hundred sixty-three thousand, six hundred forty".