1375941427200 has 648 divisors, whose sum is σ = 5118241757265. Its totient is φ = 366917713920.

The previous prime is 1375941427183. The next prime is 1375941427213. The reversal of 1375941427200 is 27241495731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (4!)⁴ ⋅ (2!)³.

1375941427200 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 9 + 414 + 27 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1348422598656 + 27518828544 = 1161216^2 + 165888^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=829440.

It is a super-2 number, since 2×1375941427200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275188285438 + ... + 275188285442.

Almost surely, 2^{1375941427200} is an apocalyptic number.

1375941427200 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 1375941427200

1375941427200 is an abundant number, since it is smaller than the sum of its proper divisors (3742300330065).

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

1375941427200 is an frugal number, since it uses more digits than its factorization.

1375941427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1375941427200 in words is "one trillion, three hundred seventy-five billion, nine hundred forty-one million, four hundred twenty-seven thousand, two hundred".