11040997766400 has 2160 divisors, whose sum is σ = 49388030630400. Its totient is φ = 2387204628480.

The previous prime is 11040997766291. The next prime is 11040997766423. The reversal of 11040997766400 is 466779904011.

11040997766400 is a `hidden beast` number, since 1 + 104 + 0 + 9 + 9 + 77 + 66 + 400 = 666.

11040997766400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16754169271 + ... + 16754169929.

Almost surely, 2^{11040997766400} is an apocalyptic number.

11040997766400 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 11040997766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694015315200).

11040997766400 is an abundant number, since it is smaller than the sum of its proper divisors (38347032864000).

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

11040997766400 is an frugal number, since it uses more digits than its factorization.

11040997766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11040997766400 in words is "eleven trillion, forty billion, nine hundred ninety-seven million, seven hundred sixty-six thousand, four hundred".