1382040015840 has 576 divisors, whose sum is σ = 5563560038400. Its totient is φ = 308619755520.

The previous prime is 1382040015817. The next prime is 1382040015871. The reversal of 1382040015840 is 485100402831.

1382040015840 is a `hidden beast` number, since 1 + 38 + 2 + 0 + 40 + 0 + 1 + 584 + 0 = 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 = 1382040015795 and 1382040015804.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12601561 + ... + 12710759.

It is an arithmetic number, because the mean of its divisors is an integer number (9658958400).

Almost surely, 2^{1382040015840} is an apocalyptic number.

1382040015840 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 1382040015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781780019200).

1382040015840 is an abundant number, since it is smaller than the sum of its proper divisors (4181520022560).

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

1382040015840 is a wasteful number, since it uses less digits than its factorization.

1382040015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109295 (or 109284 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1382040015840 in words is "one trillion, three hundred eighty-two billion, forty million, fifteen thousand, eight hundred forty".