11401326720 has 448 divisors, whose sum is σ = 46717093440. Its totient is φ = 2605271040.

The previous prime is 11401326697. The next prime is 11401326721. The reversal of 11401326720 is 2762310411.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11401326721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3264175 + ... + 3267665.

Almost surely, 2^11401326720 is an apocalyptic number.

11401326720 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 11401326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23358546720).

11401326720 is an abundant number, since it is smaller than the sum of its proper divisors (35315766720).

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

11401326720 is an frugal number, since it uses more digits than its factorization.

11401326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11401326720 in words is "eleven billion, four hundred one million, three hundred twenty-six thousand, seven hundred twenty".