1382466345120 has 648 divisors, whose sum is σ = 5683904910684. Its totient is φ = 305082925056.

The previous prime is 1382466345089. The next prime is 1382466345151. The reversal of 1382466345120 is 215436642831.

1382466345120 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 6 + 634 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1382466345089) and next prime (1382466345151).

It can be written as a sum of positive squares in 6 ways, for example, as 328287745296 + 1054178599824 = 572964^2 + 1026732^2 .

It is a super-2 number, since 2×1382466345120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59329312 + ... + 59352608.

Almost surely, 2^{1382466345120} is an apocalyptic number.

1382466345120 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 1382466345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841952455342).

1382466345120 is an abundant number, since it is smaller than the sum of its proper divisors (4301438565564).

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

1382466345120 is a wasteful number, since it uses less digits than its factorization.

1382466345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23390 (or 23343 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1382466345120 in words is "one trillion, three hundred eighty-two billion, four hundred sixty-six million, three hundred forty-five thousand, one hundred twenty".