1141430040 has 96 divisors (see below), whose sum is σ = 3748006080. Its totient is φ = 301234176.

The previous prime is 1141430033. The next prime is 1141430071. The reversal of 1141430040 is 400341411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1141429995 and 1141430022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18577 + ... + 51263.

It is an arithmetic number, because the mean of its divisors is an integer number (39041730).

Almost surely, 2^1141430040 is an apocalyptic number.

1141430040 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 1141430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874003040).

1141430040 is an abundant number, since it is smaller than the sum of its proper divisors (2606576040).

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

1141430040 is a wasteful number, since it uses less digits than its factorization.

1141430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32801 (or 32794 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1141430040 is about 33785.0564599203. The cubic root of 1141430040 is about 1045.0805520806.

Adding to 1141430040 its reverse (400341411), we get a palindrome (1541771451).

The spelling of 1141430040 in words is "one billion, one hundred forty-one million, four hundred thirty thousand, forty".