1386035290000 has 225 divisors, whose sum is σ = 3429412345359. Its totient is φ = 542499840000.

The previous prime is 1386035289979. The next prime is 1386035290007. The reversal of 1386035290000 is 925306831.

The square root of 1386035290000 is 1177300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 222432970384 + 1163602319616 = 471628^2 + 1078704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1386035290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7181529904 + ... + 7181530096.

Almost surely, 2^{1386035290000} is an apocalyptic number.

1386035290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1386035290000 is the 1177300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386035290000

1386035290000 is an abundant number, since it is smaller than the sum of its proper divisors (2043377055359).

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

1386035290000 is an frugal number, since it uses more digits than its factorization.

1386035290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1386035290000 in words is "one trillion, three hundred eighty-six billion, thirty-five million, two hundred ninety thousand".