1141415040 has 256 divisors, whose sum is σ = 3810263040. Its totient is φ = 290304000.

The previous prime is 1141415029. The next prime is 1141415047. The reversal of 1141415040 is 405141411.

It is a junction number, because it is equal to n+sod(n) for n = 1141414998 and 1141415016.

It is not an unprimeable number, because it can be changed into a prime (1141415047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7558965 + ... + 7559115.

It is an arithmetic number, because the mean of its divisors is an integer number (14883840).

Almost surely, 2^1141415040 is an apocalyptic number.

1141415040 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 1141415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905131520).

1141415040 is an abundant number, since it is smaller than the sum of its proper divisors (2668848000).

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

1141415040 is a wasteful number, since it uses less digits than its factorization.

1141415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1141415040 is about 33784.8344675536. The cubic root of 1141415040 is about 1045.0759741166.

Adding to 1141415040 its reverse (405141411), we get a palindrome (1546556451).

The spelling of 1141415040 in words is "one billion, one hundred forty-one million, four hundred fifteen thousand, forty".