1141069440 has 256 divisors, whose sum is σ = 4230144000. Its totient is φ = 256217088.

The previous prime is 1141069379. The next prime is 1141069451. The reversal of 1141069440 is 449601411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1141069398 and 1141069407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792241 + ... + 793679.

It is an arithmetic number, because the mean of its divisors is an integer number (16524000).

Almost surely, 2^1141069440 is an apocalyptic number.

1141069440 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 1141069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115072000).

1141069440 is an abundant number, since it is smaller than the sum of its proper divisors (3089074560).

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

1141069440 is a wasteful number, since it uses less digits than its factorization.

1141069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1141069440 is about 33779.7193594026. The cubic root of 1141069440 is about 1044.9704867164.

The spelling of 1141069440 in words is "one billion, one hundred forty-one million, sixty-nine thousand, four hundred forty".