1342404400240 has 80 divisors (see below), whose sum is σ = 3308282809920. Its totient is φ = 504825384960.

The previous prime is 1342404400201. The next prime is 1342404400241. The reversal of 1342404400240 is 420044042431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1342404400240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1342404400199 and 1342404400208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342404400241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 712810 + ... + 1786870.

It is an arithmetic number, because the mean of its divisors is an integer number (41353535124).

Almost surely, 2^{1342404400240} is an apocalyptic number.

1342404400240 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 1342404400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654141404960).

1342404400240 is an abundant number, since it is smaller than the sum of its proper divisors (1965878409680).

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

1342404400240 is a wasteful number, since it uses less digits than its factorization.

1342404400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075010 (or 1075004 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1342404400240 its reverse (420044042431), we get a palindrome (1762448442671).

The spelling of 1342404400240 in words is "one trillion, three hundred forty-two billion, four hundred four million, four hundred thousand, two hundred forty".