1385581317120 has 5632 divisors, whose sum is σ = 7606429286400. Its totient is φ = 229323571200.

The previous prime is 1385581317083. The next prime is 1385581317143. The reversal of 1385581317120 is 217131855831.

1385581317120 is a `hidden beast` number, since 1 + 3 + 8 + 558 + 1 + 3 + 1 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 44696171505 + ... + 44696171535.

Almost surely, 2^{1385581317120} is an apocalyptic number.

1385581317120 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 1385581317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803214643200).

1385581317120 is an abundant number, since it is smaller than the sum of its proper divisors (6220847969280).

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

1385581317120 is a wasteful number, since it uses less digits than its factorization.

1385581317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1385581317120 in words is "one trillion, three hundred eighty-five billion, five hundred eighty-one million, three hundred seventeen thousand, one hundred twenty".