1348075844040 has 128 divisors (see below), whose sum is σ = 4072957499520. Its totient is φ = 356939366400.

The previous prime is 1348075844029. The next prime is 1348075844051. The reversal of 1348075844040 is 404485708431.

It is an interprime number because it is at equal distance from previous prime (1348075844029) and next prime (1348075844051).

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, 13874107 + ... + 13970933.

It is an arithmetic number, because the mean of its divisors is an integer number (31819980465).

Almost surely, 2^{1348075844040} is an apocalyptic number.

1348075844040 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 1348075844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036478749760).

1348075844040 is an abundant number, since it is smaller than the sum of its proper divisors (2724881655480).

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

1348075844040 is a wasteful number, since it uses less digits than its factorization.

1348075844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97663 (or 97659 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 1348075844040 in words is "one trillion, three hundred forty-eight billion, seventy-five million, eight hundred forty-four thousand, forty".