1005002419040 has 384 divisors, whose sum is σ = 2606407372800. Its totient is φ = 364929546240.

The previous prime is 1005002419039. The next prime is 1005002419067. The reversal of 1005002419040 is 409142005001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2289299141 + ... + 2289299579.

It is an arithmetic number, because the mean of its divisors is an integer number (6787519200).

Almost surely, 2^{1005002419040} is an apocalyptic number.

1005002419040 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 1005002419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303203686400).

1005002419040 is an abundant number, since it is smaller than the sum of its proper divisors (1601404953760).

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

1005002419040 is a wasteful number, since it uses less digits than its factorization.

1005002419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 1005002419040 in words is "one trillion, five billion, two million, four hundred nineteen thousand, forty".