1141414000 has 160 divisors (see below), whose sum is σ = 2977041600. Its totient is φ = 421683200.

The previous prime is 1141413997. The next prime is 1141414003. The reversal of 1141414000 is 4141411.

It is an interprime number because it is at equal distance from previous prime (1141413997) and next prime (1141414003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141414003) 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, 2005716 + ... + 2006284.

It is an arithmetic number, because the mean of its divisors is an integer number (18606510).

Almost surely, 2^1141414000 is an apocalyptic number.

1141414000 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 1141414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488520800).

1141414000 is an abundant number, since it is smaller than the sum of its proper divisors (1835627600).

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

1141414000 is a wasteful number, since it uses less digits than its factorization.

1141414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1141414000 is about 33784.8190760288. The cubic root of 1141414000 is about 1045.0756567096.

Adding to 1141414000 its reverse (4141411), we get a palindrome (1145555411).

The spelling of 1141414000 in words is "one billion, one hundred forty-one million, four hundred fourteen thousand".