1375335044096 has 264 divisors, whose sum is σ = 3071308646880. Its totient is φ = 614839320576.

The previous prime is 1375335044077. The next prime is 1375335044099. The reversal of 1375335044096 is 6904405335731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375335044099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2221865675 + ... + 2221866293.

Almost surely, 2^{1375335044096} is an apocalyptic number.

1375335044096 is a gapful number since it is divisible by the number (16) 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 1375335044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535654323440).

1375335044096 is an abundant number, since it is smaller than the sum of its proper divisors (1695973602784).

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

1375335044096 is a wasteful number, since it uses less digits than its factorization.

1375335044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 50.

The spelling of 1375335044096 in words is "one trillion, three hundred seventy-five billion, three hundred thirty-five million, forty-four thousand, ninety-six".