1005040225024 has 144 divisors (see below), whose sum is σ = 2300135765760. Its totient is φ = 433826426880.

The previous prime is 1005040225009. The next prime is 1005040225039. The reversal of 1005040225024 is 4205220405001.

It is an interprime number because it is at equal distance from previous prime (1005040225009) and next prime (1005040225039).

It is a self number, because there is not a number n which added to its sum of digits gives 1005040225024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8946934 + ... + 9058570.

It is an arithmetic number, because the mean of its divisors is an integer number (15973165040).

Almost surely, 2^{1005040225024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005040225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150067882880).

1005040225024 is an abundant number, since it is smaller than the sum of its proper divisors (1295095540736).

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

1005040225024 is a wasteful number, since it uses less digits than its factorization.

1005040225024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111826 (or 111812 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 1005040225024 in words is "one trillion, five billion, forty million, two hundred twenty-five thousand, twenty-four".