10966338109440 has 2520 divisors, whose sum is σ = 49987758344832. Its totient is φ = 2283043553280.

The previous prime is 10966338109393. The next prime is 10966338109477. The reversal of 10966338109440 is 4490183366901.

10966338109440 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 63 + 38 + 109 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×10966338109440² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 353752842225 + ... + 353752842255.

Almost surely, 2^{10966338109440} is an apocalyptic number.

10966338109440 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 10966338109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24993879172416).

10966338109440 is an abundant number, since it is smaller than the sum of its proper divisors (39021420235392).

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

10966338109440 is an frugal number, since it uses more digits than its factorization.

10966338109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10966338109440 in words is "ten trillion, nine hundred sixty-six billion, three hundred thirty-eight million, one hundred nine thousand, four hundred forty".