1341300400440 has 768 divisors, whose sum is σ = 5532323328000. Its totient is φ = 257245148160.

The previous prime is 1341300400439. The next prime is 1341300400457. The reversal of 1341300400440 is 440040031431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1341300400440.

It is a congruent number.

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, 142097241 + ... + 142106679.

It is an arithmetic number, because the mean of its divisors is an integer number (7203546000).

Almost surely, 2^{1341300400440} is an apocalyptic number.

1341300400440 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 1341300400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766161664000).

1341300400440 is an abundant number, since it is smaller than the sum of its proper divisors (4191022927560).

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

1341300400440 is a wasteful number, since it uses less digits than its factorization.

1341300400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1341300400440 its reverse (440040031431), we get a palindrome (1781340431871).

The spelling of 1341300400440 in words is "one trillion, three hundred forty-one billion, three hundred million, four hundred thousand, four hundred forty".