1040413120 has 56 divisors (see below), whose sum is σ = 2502091008. Its totient is φ = 412032000.

The previous prime is 1040413111. The next prime is 1040413123. The reversal of 1040413120 is 213140401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1040413094 and 1040413103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040413123) 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, 16225 + ... + 48415.

Almost surely, 2^1040413120 is an apocalyptic number.

1040413120 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 1040413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251045504).

1040413120 is an abundant number, since it is smaller than the sum of its proper divisors (1461677888).

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

1040413120 is a wasteful number, since it uses less digits than its factorization.

1040413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32309 (or 32299 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1040413120 is about 32255.4355109337. The cubic root of 1040413120 is about 1013.2935387573.

Adding to 1040413120 its reverse (213140401), we get a palindrome (1253553521).

The spelling of 1040413120 in words is "one billion, forty million, four hundred thirteen thousand, one hundred twenty".