1382682470400 has 2592 divisors, whose sum is σ = 6637314247200. Its totient is φ = 271260057600.

The previous prime is 1382682470353. The next prime is 1382682470423. The reversal of 1382682470400 is 40742862831.

It is a happy number.

1382682470400 is a `hidden beast` number, since 1 + 3 + 82 + 68 + 2 + 470 + 40 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 4719052654 + ... + 4719052946.

It is an arithmetic number, because the mean of its divisors is an integer number (2560692225).

Almost surely, 2^{1382682470400} is an apocalyptic number.

1382682470400 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 1382682470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318657123600).

1382682470400 is an abundant number, since it is smaller than the sum of its proper divisors (5254631776800).

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

1382682470400 is a wasteful number, since it uses less digits than its factorization.

1382682470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1382682470400 in words is "one trillion, three hundred eighty-two billion, six hundred eighty-two million, four hundred seventy thousand, four hundred".