11434381140 has 144 divisors (see below), whose sum is σ = 39621391488. Its totient is φ = 2412513792.

The previous prime is 11434381073. The next prime is 11434381159. The reversal of 11434381140 is 4118343411.

11434381140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11434381098 and 11434381107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9567 + ... + 151526.

It is an arithmetic number, because the mean of its divisors is an integer number (275148552).

Almost surely, 2^11434381140 is an apocalyptic number.

11434381140 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 11434381140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810695744).

11434381140 is an abundant number, since it is smaller than the sum of its proper divisors (28187010348).

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

11434381140 is a wasteful number, since it uses less digits than its factorization.

11434381140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161138 (or 161123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11434381140 in words is "eleven billion, four hundred thirty-four million, three hundred eighty-one thousand, one hundred forty".