1141344404240 has 80 divisors (see below), whose sum is σ = 2704386894768. Its totient is φ = 447809077248.

The previous prime is 1141344404191. The next prime is 1141344404279. The reversal of 1141344404240 is 424044431411.

It can be written as a sum of positive squares in 8 ways, for example, as 170575608064 + 970768796176 = 413008^2 + 985276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1141344404197 and 1141344404206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17576312 + ... + 17641128.

Almost surely, 2^{1141344404240} is an apocalyptic number.

1141344404240 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 1141344404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352193447384).

1141344404240 is an abundant number, since it is smaller than the sum of its proper divisors (1563042490528).

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

1141344404240 is a wasteful number, since it uses less digits than its factorization.

1141344404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69036 (or 69030 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1141344404240 its reverse (424044431411), we get a palindrome (1565388835651).

The spelling of 1141344404240 in words is "one trillion, one hundred forty-one billion, three hundred forty-four million, four hundred four thousand, two hundred forty".