10661340000 has 240 divisors, whose sum is σ = 35253752688. Its totient is φ = 2820096000.

The previous prime is 10661339981. The next prime is 10661340007. The reversal of 10661340000 is 4316601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10661340000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661340007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8219352 + ... + 8220648.

Almost surely, 2^10661340000 is an apocalyptic number.

10661340000 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 10661340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17626876344).

10661340000 is an abundant number, since it is smaller than the sum of its proper divisors (24592412688).

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

10661340000 is a wasteful number, since it uses less digits than its factorization.

10661340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10661340000 its reverse (4316601), we get a palindrome (10665656601).

The spelling of 10661340000 in words is "ten billion, six hundred sixty-one million, three hundred forty thousand".