11178311040 has 896 divisors, whose sum is σ = 45887637600. Its totient is φ = 2579890176.

The previous prime is 11178311033. The next prime is 11178311051. The reversal of 11178311040 is 4011387111.

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

It is a junction number, because it is equal to n+sod(n) for n = 11178310995 and 11178311013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115240272 + ... + 115240368.

Almost surely, 2^11178311040 is an apocalyptic number.

11178311040 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 11178311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22943818800).

11178311040 is an abundant number, since it is smaller than the sum of its proper divisors (34709326560).

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

11178311040 is an equidigital number, since it uses as much as digits as its factorization.

11178311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 11178311040 its reverse (4011387111), we get a palindrome (15189698151).

The spelling of 11178311040 in words is "eleven billion, one hundred seventy-eight million, three hundred eleven thousand, forty".