11326573440 has 960 divisors, whose sum is σ = 50820406560. Its totient is φ = 2389782528.

The previous prime is 11326573429. The next prime is 11326573457. The reversal of 11326573440 is 4437562311.

11326573440 is a `hidden beast` number, since 11 + 32 + 6 + 573 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11326573395 and 11326573404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 871274874 + ... + 871274886.

Almost surely, 2^11326573440 is an apocalyptic number.

11326573440 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 11326573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410203280).

11326573440 is an abundant number, since it is smaller than the sum of its proper divisors (39493833120).

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

11326573440 is an frugal number, since it uses more digits than its factorization.

11326573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 11326573440 in words is "eleven billion, three hundred twenty-six million, five hundred seventy-three thousand, four hundred forty".