1411189128 has 160 divisors (see below), whose sum is σ = 4231128000. Its totient is φ = 438099840.

The previous prime is 1411189121. The next prime is 1411189181. The reversal of 1411189128 is 8219811141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1411189092 and 1411189101.

It is not an unprimeable number, because it can be changed into a prime (1411189121) 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 39 ways as a sum of consecutive naturals, for example, 750093 + ... + 751971.

It is an arithmetic number, because the mean of its divisors is an integer number (26444550).

Almost surely, 2^1411189128 is an apocalyptic number.

1411189128 is a gapful number since it is divisible by the number (18) 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 1411189128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115564000).

1411189128 is an abundant number, since it is smaller than the sum of its proper divisors (2819938872).

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

1411189128 is a wasteful number, since it uses less digits than its factorization.

1411189128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1964 counting only the distinct ones).

The product of its digits is 4608, while the sum is 36.

The square root of 1411189128 is about 37565.7973161758. The cubic root of 1411189128 is about 1121.6613121693.

The spelling of 1411189128 in words is "one billion, four hundred eleven million, one hundred eighty-nine thousand, one hundred twenty-eight".