1341106440 has 128 divisors (see below), whose sum is σ = 4153248000. Its totient is φ = 346180608.

The previous prime is 1341106439. The next prime is 1341106451. The reversal of 1341106440 is 446011431.

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 1341106440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016101 + ... + 1017419.

It is an arithmetic number, because the mean of its divisors is an integer number (32447250).

Almost surely, 2^1341106440 is an apocalyptic number.

1341106440 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 1341106440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076624000).

1341106440 is an abundant number, since it is smaller than the sum of its proper divisors (2812141560).

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

1341106440 is a wasteful number, since it uses less digits than its factorization.

1341106440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1341106440 is about 36621.1201357905. The cubic root of 1341106440 is about 1102.7771260511. Note that the first 3 decimals are identical.

Adding to 1341106440 its reverse (446011431), we get a palindrome (1787117871).

The spelling of 1341106440 in words is "one billion, three hundred forty-one million, one hundred six thousand, four hundred forty".