1241583778344 has 576 divisors, whose sum is σ = 4175737920000. Its totient is φ = 305916549120.

The previous prime is 1241583778307. The next prime is 1241583778367. The reversal of 1241583778344 is 4438773851421.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178667382 + ... + 178674330.

It is an arithmetic number, because the mean of its divisors is an integer number (7249545000).

Almost surely, 2^{1241583778344} is an apocalyptic number.

1241583778344 is a gapful number since it is divisible by the number (14) 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 1241583778344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087868960000).

1241583778344 is an abundant number, since it is smaller than the sum of its proper divisors (2934154141656).

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

1241583778344 is a wasteful number, since it uses less digits than its factorization.

1241583778344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7058 (or 7034 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 1241583778344 in words is "one trillion, two hundred forty-one billion, five hundred eighty-three million, seven hundred seventy-eight thousand, three hundred forty-four".