11661443418240 has 3072 divisors, whose sum is σ = 53672067072000. Its totient is φ = 2281835888640.

The previous prime is 11661443418179. The next prime is 11661443418257. The reversal of 11661443418240 is 4281434416611.

11661443418240 is a `hidden beast` number, since 1 + 1 + 6 + 61 + 4 + 4 + 341 + 8 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91822389057 + ... + 91822389183.

It is an arithmetic number, because the mean of its divisors is an integer number (17471376000).

Almost surely, 2^{11661443418240} is an apocalyptic number.

11661443418240 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 11661443418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26836033536000).

11661443418240 is an abundant number, since it is smaller than the sum of its proper divisors (42010623653760).

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

11661443418240 is a wasteful number, since it uses less digits than its factorization.

11661443418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 11661443418240 in words is "eleven trillion, six hundred sixty-one billion, four hundred forty-three million, four hundred eighteen thousand, two hundred forty".