11132010040320 has 1760 divisors, whose sum is σ = 45681012484800. Its totient is φ = 2569570615296.

The previous prime is 11132010040303. The next prime is 11132010040367. The reversal of 11132010040320 is 2304001023111.

11132010040320 is a `hidden beast` number, since 1 + 11 + 320 + 10 + 0 + 4 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11132010040293 and 11132010040302.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11165506062 + ... + 11165507058.

It is an arithmetic number, because the mean of its divisors is an integer number (25955120730).

Almost surely, 2^{11132010040320} is an apocalyptic number.

11132010040320 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 11132010040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840506242400).

11132010040320 is an abundant number, since it is smaller than the sum of its proper divisors (34549002444480).

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

11132010040320 is a wasteful number, since it uses less digits than its factorization.

11132010040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132010040320 its reverse (2304001023111), we get a palindrome (13436011063431).

The spelling of 11132010040320 in words is "eleven trillion, one hundred thirty-two billion, ten million, forty thousand, three hundred twenty".