1020004040 has 32 divisors (see below), whose sum is σ = 2503647360. Its totient is φ = 370910400.

The previous prime is 1020004033. The next prime is 1020004043. The reversal of 1020004040 is 404000201.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (1020004043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1158656 + ... + 1159535.

It is an arithmetic number, because the mean of its divisors is an integer number (78238980).

Almost surely, 2^1020004040 is an apocalyptic number.

1020004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020004040 is an abundant number, since it is smaller than the sum of its proper divisors (1483643320).

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

1020004040 is a wasteful number, since it uses less digits than its factorization.

1020004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318213 (or 2318209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1020004040 is about 31937.5020939334. The cubic root of 1020004040 is about 1006.6240385635.

Adding to 1020004040 its reverse (404000201), we get a palindrome (1424004241).

The spelling of 1020004040 in words is "one billion, twenty million, four thousand, forty".