1141416584 has 192 divisors, whose sum is σ = 3005112960. Its totient is φ = 399759360.

The previous prime is 1141416541. The next prime is 1141416587. The reversal of 1141416584 is 4856141411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141416587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1685654 + ... + 1686330.

It is an arithmetic number, because the mean of its divisors is an integer number (15651630).

Almost surely, 2^1141416584 is an apocalyptic number.

1141416584 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 1141416584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502556480).

1141416584 is an abundant number, since it is smaller than the sum of its proper divisors (1863696376).

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

1141416584 is a wasteful number, since it uses less digits than its factorization.

1141416584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 1141416584 is about 33784.8573180353. The cubic root of 1141416584 is about 1045.0764453436.

Adding to 1141416584 its reverse (4856141411), we get a palindrome (5997557995).

The spelling of 1141416584 in words is "one billion, one hundred forty-one million, four hundred sixteen thousand, five hundred eighty-four".