11033340369408 has 640 divisors, whose sum is σ = 37897511308800. Its totient is φ = 3104181190656.

The previous prime is 11033340369367. The next prime is 11033340369437. The reversal of 11033340369408 is 80496304333011.

11033340369408 is a `hidden beast` number, since 110 + 3 + 33 + 40 + 3 + 69 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7721021238 + ... + 7721022666.

It is an arithmetic number, because the mean of its divisors is an integer number (59214861420).

Almost surely, 2^{11033340369408} is an apocalyptic number.

11033340369408 is a gapful number since it is divisible by the number (18) 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 11033340369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948755654400).

11033340369408 is an abundant number, since it is smaller than the sum of its proper divisors (26864170939392).

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

11033340369408 is a wasteful number, since it uses less digits than its factorization.

11033340369408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 11033340369408 in words is "eleven trillion, thirty-three billion, three hundred forty million, three hundred sixty-nine thousand, four hundred eight".