11134141040 has 160 divisors (see below), whose sum is σ = 29555822592. Its totient is φ = 3863808000.

The previous prime is 11134141027. The next prime is 11134141087. The reversal of 11134141040 is 4014143111.

It is a super-2 number, since 2×11134141040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988645 + ... + 1994235.

Almost surely, 2^11134141040 is an apocalyptic number.

11134141040 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 11134141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777911296).

11134141040 is an abundant number, since it is smaller than the sum of its proper divisors (18421681552).

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

11134141040 is a wasteful number, since it uses less digits than its factorization.

11134141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11134141040 its reverse (4014143111), we get a palindrome (15148284151).

The spelling of 11134141040 in words is "eleven billion, one hundred thirty-four million, one hundred forty-one thousand, forty".