1001003819040 has 576 divisors, whose sum is σ = 3599199781632. Its totient is φ = 262691942400.

The previous prime is 1001003818999. The next prime is 1001003819099. The reversal of 1001003819040 is 409183001001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1001003818995 and 1001003819013.

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, 724839150 + ... + 724840530.

It is an arithmetic number, because the mean of its divisors is an integer number (6248610732).

Almost surely, 2^{1001003819040} is an apocalyptic number.

1001003819040 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 1001003819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799599890816).

1001003819040 is an abundant number, since it is smaller than the sum of its proper divisors (2598195962592).

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

1001003819040 is a wasteful number, since it uses less digits than its factorization.

1001003819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1001003819040 in words is "one trillion, one billion, three million, eight hundred nineteen thousand, forty".