1073111644000 has 384 divisors, whose sum is σ = 3010073923584. Its totient is φ = 372176640000.

The previous prime is 1073111643959. The next prime is 1073111644021. The reversal of 1073111644000 is 4461113701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1073111644000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401762665 + ... + 401765335.

It is an arithmetic number, because the mean of its divisors is an integer number (7838734176).

Almost surely, 2^{1073111644000} is an apocalyptic number.

1073111644000 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 1073111644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505036961792).

1073111644000 is an abundant number, since it is smaller than the sum of its proper divisors (1936962279584).

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

1073111644000 is a wasteful number, since it uses less digits than its factorization.

1073111644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 1073111644000 its reverse (4461113701), we get a palindrome (1077572757701).

The spelling of 1073111644000 in words is "one trillion, seventy-three billion, one hundred eleven million, six hundred forty-four thousand".