1073801908224 has 312 divisors, whose sum is σ = 3248811663552. Its totient is φ = 341077524480.

The previous prime is 1073801908211. The next prime is 1073801908241. The reversal of 1073801908224 is 4228091083701.

It is a happy number.

1073801908224 is a `hidden beast` number, since 1 + 0 + 7 + 380 + 190 + 82 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1073801908224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238249779 + ... + 238254285.

It is an arithmetic number, because the mean of its divisors is an integer number (10412857896).

Almost surely, 2^{1073801908224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073801908224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624405831776).

1073801908224 is an abundant number, since it is smaller than the sum of its proper divisors (2175009755328).

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

1073801908224 is a wasteful number, since it uses less digits than its factorization.

1073801908224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1073801908224 in words is "one trillion, seventy-three billion, eight hundred one million, nine hundred eight thousand, two hundred twenty-four".