1141445440 has 56 divisors (see below), whose sum is σ = 2745056232. Its totient is φ = 452044800.

The previous prime is 1141445429. The next prime is 1141445477. The reversal of 1141445440 is 445441411.

It can be written as a sum of positive squares in 4 ways, for example, as 385415424 + 756030016 = 19632^2 + 27496^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1141445399 and 1141445408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14662 + ... + 49978.

Almost surely, 2^1141445440 is an apocalyptic number.

1141445440 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 1141445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372528116).

1141445440 is an abundant number, since it is smaller than the sum of its proper divisors (1603610792).

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

1141445440 is a wasteful number, since it uses less digits than its factorization.

1141445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35435 (or 35425 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 1141445440 is about 33785.2843705658. The cubic root of 1141445440 is about 1045.0852520820.

Adding to 1141445440 its reverse (445441411), we get a palindrome (1586886851).

The spelling of 1141445440 in words is "one billion, one hundred forty-one million, four hundred forty-five thousand, four hundred forty".