1381817428992 has 2640 divisors, whose sum is σ = 5977063794240. Its totient is φ = 308312801280.

The previous prime is 1381817428949. The next prime is 1381817428993. The reversal of 1381817428992 is 2998247181831.

1381817428992 is a `hidden beast` number, since 1 + 381 + 8 + 174 + 2 + 89 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1381817428993) 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 239 ways as a sum of consecutive naturals, for example, 15526038484 + ... + 15526038572.

It is an arithmetic number, because the mean of its divisors is an integer number (2264039316).

Almost surely, 2^{1381817428992} is an apocalyptic number.

1381817428992 is a gapful number since it is divisible by the number (12) 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 1381817428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988531897120).

1381817428992 is an abundant number, since it is smaller than the sum of its proper divisors (4595246365248).

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

1381817428992 is a wasteful number, since it uses less digits than its factorization.

1381817428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 1381817428992 in words is "one trillion, three hundred eighty-one billion, eight hundred seventeen million, four hundred twenty-eight thousand, nine hundred ninety-two".