1002041040 has 640 divisors, whose sum is σ = 4311724032. Its totient is φ = 185794560.

The previous prime is 1002041021. The next prime is 1002041059. The reversal of 1002041040 is 401402001.

It is an interprime number because it is at equal distance from previous prime (1002041021) and next prime (1002041059).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10330272 + ... + 10330368.

Almost surely, 2^1002041040 is an apocalyptic number.

1002041040 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 1002041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155862016).

1002041040 is an abundant number, since it is smaller than the sum of its proper divisors (3309682992).

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

1002041040 is a wasteful number, since it uses less digits than its factorization.

1002041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002041040 is about 31655.0318274994. The cubic root of 1002041040 is about 1000.6798843192.

Adding to 1002041040 its reverse (401402001), we get a palindrome (1403443041).

The spelling of 1002041040 in words is "one billion, two million, forty-one thousand, forty".