1375801344000 has 384 divisors, whose sum is σ = 4960279663560. Its totient is φ = 366870528000.

The previous prime is 1375801343977. The next prime is 1375801344031. The reversal of 1375801344000 is 4431085731.

It is a happy number.

1375801344000 is a `hidden beast` number, since 1 + 3 + 7 + 580 + 1 + 34 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 648424341504 + 727377002496 = 805248^2 + 852864^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36845340 + ... + 36882660.

Almost surely, 2^{1375801344000} is an apocalyptic number.

1375801344000 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 1375801344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480139831780).

1375801344000 is an abundant number, since it is smaller than the sum of its proper divisors (3584478319560).

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

1375801344000 is an frugal number, since it uses more digits than its factorization.

1375801344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37372 (or 37331 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1375801344000 in words is "one trillion, three hundred seventy-five billion, eight hundred one million, three hundred forty-four thousand".