1386253440000 has 3300 divisors, whose sum is σ = 6483453921252. Its totient is φ = 291962880000.

The previous prime is 1386253439971. The next prime is 1386253440029. The reversal of 1386253440000 is 443526831.

1386253440000 is a `hidden beast` number, since 1 + 3 + 86 + 2 + 534 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1386253439971) and next prime (1386253440029).

It can be written as a sum of positive squares in 10 ways, for example, as 1119601004544 + 266652435456 = 1058112^2 + 516384^2 .

It is a tau number, because it is divible by the number of its divisors (3300).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 81544319992 + ... + 81544320008.

Almost surely, 2^{1386253440000} is an apocalyptic number.

1386253440000 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 1386253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241726960626).

1386253440000 is an abundant number, since it is smaller than the sum of its proper divisors (5097200481252).

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

1386253440000 is a wasteful number, since it uses less digits than its factorization.

1386253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1386253440000 its reverse (443526831), we get a palindrome (1386696966831).

The spelling of 1386253440000 in words is "one trillion, three hundred eighty-six billion, two hundred fifty-three million, four hundred forty thousand".