1040544340000 has 360 divisors, whose sum is σ = 2890065542364. Its totient is φ = 368121600000.

The previous prime is 1040544339973. The next prime is 1040544340009. The reversal of 1040544340000 is 434450401.

It can be written as a sum of positive squares in 10 ways, for example, as 97291591056 + 943252748944 = 311916^2 + 971212^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1040544340009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89534190 + ... + 89545810.

Almost surely, 2^{1040544340000} is an apocalyptic number.

1040544340000 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 1040544340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445032771182).

1040544340000 is an abundant number, since it is smaller than the sum of its proper divisors (1849521202364).

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

1040544340000 is a wasteful number, since it uses less digits than its factorization.

1040544340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 1040544340000 its reverse (434450401), we get a palindrome (1040978790401).

The spelling of 1040544340000 in words is "one trillion, forty billion, five hundred forty-four million, three hundred forty thousand".