1141623013440 has 1344 divisors, whose sum is σ = 4763564605440. Its totient is φ = 226178334720.

The previous prime is 1141623013411. The next prime is 1141623013481. The reversal of 1141623013440 is 443103261411.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 1141623013398 and 1141623013407.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4121382582 + ... + 4121382858.

Almost surely, 2^{1141623013440} is an apocalyptic number.

1141623013440 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 1141623013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381782302720).

1141623013440 is an abundant number, since it is smaller than the sum of its proper divisors (3621941592000).

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

1141623013440 is a wasteful number, since it uses less digits than its factorization.

1141623013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 1141623013440 its reverse (443103261411), we get a palindrome (1584726274851).

The spelling of 1141623013440 in words is "one trillion, one hundred forty-one billion, six hundred twenty-three million, thirteen thousand, four hundred forty".