1141042000 has 160 divisors (see below), whose sum is σ = 3180153600. Its totient is φ = 387878400.

The previous prime is 1141041991. The next prime is 1141042003. The reversal of 1141042000 is 2401411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141042003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2085727 + ... + 2086273.

It is an arithmetic number, because the mean of its divisors is an integer number (19875960).

Almost surely, 2^1141042000 is an apocalyptic number.

1141042000 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 1141042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590076800).

1141042000 is an abundant number, since it is smaller than the sum of its proper divisors (2039111600).

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

1141042000 is a wasteful number, since it uses less digits than its factorization.

1141042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1141042000 is about 33779.3131960968. The cubic root of 1141042000 is about 1044.9621102995.

Adding to 1141042000 its reverse (2401411), we get a palindrome (1143443411).

The spelling of 1141042000 in words is "one billion, one hundred forty-one million, forty-two thousand".