1375242336000 has 2592 divisors, whose sum is σ = 5986245597696. Its totient is φ = 300810240000.

The previous prime is 1375242335953. The next prime is 1375242336023. The reversal of 1375242336000 is 6332425731.

1375242336000 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 42 + 3 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33542495980 + ... + 33542496020.

Almost surely, 2^{1375242336000} is an apocalyptic number.

1375242336000 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 1375242336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993122798848).

1375242336000 is an abundant number, since it is smaller than the sum of its proper divisors (4611003261696).

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

1375242336000 is a wasteful number, since it uses less digits than its factorization.

1375242336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 1375242336000 in words is "one trillion, three hundred seventy-five billion, two hundred forty-two million, three hundred thirty-six thousand".