11074112640 has 384 divisors, whose sum is σ = 40953669120. Its totient is φ = 2856591360.

The previous prime is 11074112537. The next prime is 11074112653. The reversal of 11074112640 is 4621147011.

11074112640 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 4 + 1 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4819972 + ... + 4822268.

It is an arithmetic number, because the mean of its divisors is an integer number (106650180).

Almost surely, 2^11074112640 is an apocalyptic number.

11074112640 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 11074112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476834560).

11074112640 is an abundant number, since it is smaller than the sum of its proper divisors (29879556480).

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

11074112640 is an equidigital number, since it uses as much as digits as its factorization.

11074112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11074112640 its reverse (4621147011), we get a palindrome (15695259651).

The spelling of 11074112640 in words is "eleven billion, seventy-four million, one hundred twelve thousand, six hundred forty".