11641209963840 has 336 divisors, whose sum is σ = 41216938688640. Its totient is φ = 3013529702400.

The previous prime is 11641209963797. The next prime is 11641209963841. The reversal of 11641209963840 is 4836990214611.

11641209963840 is a `hidden beast` number, since 1 + 1 + 6 + 412 + 0 + 99 + 63 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641209963841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46655415 + ... + 46904265.

Almost surely, 2^{11641209963840} is an apocalyptic number.

11641209963840 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 11641209963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20608469344320).

11641209963840 is an abundant number, since it is smaller than the sum of its proper divisors (29575728724800).

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

11641209963840 is a wasteful number, since it uses less digits than its factorization.

11641209963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249350 (or 249337 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11641209963840 in words is "eleven trillion, six hundred forty-one billion, two hundred nine million, nine hundred sixty-three thousand, eight hundred forty".