1375490995200 has 1188 divisors, whose sum is σ = 5810933900460. Its totient is φ = 309905326080.

The previous prime is 1375490995183. The next prime is 1375490995243. The reversal of 1375490995200 is 25990945731.

1375490995200 is a `hidden beast` number, since 1 + 3 + 7 + 549 + 0 + 9 + 95 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11416495104 + 1364074500096 = 106848^2 + 1167936^2 .

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 824139966 + ... + 824141634.

Almost surely, 2^{1375490995200} is an apocalyptic number.

1375490995200 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 1375490995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905466950230).

1375490995200 is an abundant number, since it is smaller than the sum of its proper divisors (4435442905260).

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

1375490995200 is a wasteful number, since it uses less digits than its factorization.

1375490995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 1375490995200 in words is "one trillion, three hundred seventy-five billion, four hundred ninety million, nine hundred ninety-five thousand, two hundred".