1382109200640 has 864 divisors, whose sum is σ = 5681437122816. Its totient is φ = 303614853120.

The previous prime is 1382109200573. The next prime is 1382109200657. The reversal of 1382109200640 is 460029012831.

1382109200640 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 1 + 0 + 9 + 2 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1382109200595 and 1382109200604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247642650 + ... + 247648230.

Almost surely, 2^{1382109200640} is an apocalyptic number.

1382109200640 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 1382109200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840718561408).

1382109200640 is an abundant number, since it is smaller than the sum of its proper divisors (4299327922176).

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

1382109200640 is a wasteful number, since it uses less digits than its factorization.

1382109200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1382109200640 in words is "one trillion, three hundred eighty-two billion, one hundred nine million, two hundred thousand, six hundred forty".