1375839775440 has 1920 divisors, whose sum is σ = 5716205568000. Its totient is φ = 306563512320.

The previous prime is 1375839775439. The next prime is 1375839775441. The reversal of 1375839775440 is 445779385731.

1375839775440 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 83 + 9 + 7 + 7 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1375839775439) and next prime (1375839775441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375839775441) 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 383 ways as a sum of consecutive naturals, for example, 17415693321 + ... + 17415693399.

It is an arithmetic number, because the mean of its divisors is an integer number (2977190400).

Almost surely, 2^{1375839775440} is an apocalyptic number.

1375839775440 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 1375839775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858102784000).

1375839775440 is an abundant number, since it is smaller than the sum of its proper divisors (4340365792560).

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

1375839775440 is a wasteful number, since it uses less digits than its factorization.

1375839775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 1375839775440 in words is "one trillion, three hundred seventy-five billion, eight hundred thirty-nine million, seven hundred seventy-five thousand, four hundred forty".