1340041444100 has 72 divisors (see below), whose sum is σ = 3080490336000. Its totient is φ = 504232542720.

The previous prime is 1340041444069. The next prime is 1340041444199. The reversal of 1340041444100 is 14441400431.

It is a super-2 number, since 2×1340041444100² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1340041444100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3201137 + ... + 3595463.

It is an arithmetic number, because the mean of its divisors is an integer number (42784588000).

Almost surely, 2^{1340041444100} is an apocalyptic number.

1340041444100 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 1340041444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540245168000).

1340041444100 is an abundant number, since it is smaller than the sum of its proper divisors (1740448891900).

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

1340041444100 is a wasteful number, since it uses less digits than its factorization.

1340041444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396357 (or 396350 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1340041444100 its reverse (14441400431), we get a palindrome (1354482844531).

The spelling of 1340041444100 in words is "one trillion, three hundred forty billion, forty-one million, four hundred forty-four thousand, one hundred".