11133420144 has 240 divisors, whose sum is σ = 36609978240. Its totient is φ = 2882987520.

The previous prime is 11133420079. The next prime is 11133420161. The reversal of 11133420144 is 44102433111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 16894087 + ... + 16894745.

It is an arithmetic number, because the mean of its divisors is an integer number (152541576).

Almost surely, 2^11133420144 is an apocalyptic number.

11133420144 is a gapful number since it is divisible by the number (14) 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 11133420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18304989120).

11133420144 is an abundant number, since it is smaller than the sum of its proper divisors (25476558096).

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

11133420144 is a wasteful number, since it uses less digits than its factorization.

11133420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11133420144 its reverse (44102433111), we get a palindrome (55235853255).

The spelling of 11133420144 in words is "eleven billion, one hundred thirty-three million, four hundred twenty thousand, one hundred forty-four".