11671996285440 has 320 divisors, whose sum is σ = 42424098076800. Its totient is φ = 3040147095552.

The previous prime is 11671996285361. The next prime is 11671996285529. The reversal of 11671996285440 is 4458269917611.

11671996285440 is a `hidden beast` number, since 1 + 1 + 67 + 1 + 9 + 9 + 6 + 28 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008606 + ... + 4935714.

It is an arithmetic number, because the mean of its divisors is an integer number (132575306490).

Almost surely, 2^{11671996285440} is an apocalyptic number.

11671996285440 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 11671996285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212049038400).

11671996285440 is an abundant number, since it is smaller than the sum of its proper divisors (30752101791360).

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

11671996285440 is an equidigital number, since it uses as much as digits as its factorization.

11671996285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927184 (or 3927162 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 11671996285440 in words is "eleven trillion, six hundred seventy-one billion, nine hundred ninety-six million, two hundred eighty-five thousand, four hundred forty".