1344005520240 has 160 divisors (see below), whose sum is σ = 4280773780800. Its totient is φ = 348572270592.

The previous prime is 1344005520229. The next prime is 1344005520271. The reversal of 1344005520240 is 420255004431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1344005520198 and 1344005520207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22605432 + ... + 22664808.

It is an arithmetic number, because the mean of its divisors is an integer number (26754836130).

Almost surely, 2^{1344005520240} is an apocalyptic number.

1344005520240 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 1344005520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140386890400).

1344005520240 is an abundant number, since it is smaller than the sum of its proper divisors (2936768260560).

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

1344005520240 is a wasteful number, since it uses less digits than its factorization.

1344005520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61979 (or 61973 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 1344005520240 in words is "one trillion, three hundred forty-four billion, five million, five hundred twenty thousand, two hundred forty".