11440011428160 has 448 divisors, whose sum is σ = 43789477754880. Its totient is φ = 2471918100480.

The previous prime is 11440011428159. The next prime is 11440011428173. The reversal of 11440011428160 is 6182411004411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×11440011428160² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59530630 + ... + 59722490.

Almost surely, 2^{11440011428160} is an apocalyptic number.

11440011428160 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 11440011428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21894738877440).

11440011428160 is an abundant number, since it is smaller than the sum of its proper divisors (32349466326720).

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

11440011428160 is a wasteful number, since it uses less digits than its factorization.

11440011428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192374 (or 192364 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 11440011428160 in words is "eleven trillion, four hundred forty billion, eleven million, four hundred twenty-eight thousand, one hundred sixty".