1385142771600 has 720 divisors, whose sum is σ = 5627995356672. Its totient is φ = 308896727040.

The previous prime is 1385142771589. The next prime is 1385142771653. The reversal of 1385142771600 is 61772415831.

1385142771600 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 14 + 27 + 7 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 418091544 + ... + 418094856.

Almost surely, 2^{1385142771600} is an apocalyptic number.

1385142771600 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 1385142771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813997678336).

1385142771600 is an abundant number, since it is smaller than the sum of its proper divisors (4242852585072).

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

1385142771600 is a wasteful number, since it uses less digits than its factorization.

1385142771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1385142771600 in words is "one trillion, three hundred eighty-five billion, one hundred forty-two million, seven hundred seventy-one thousand, six hundred".