1020059040 has 576 divisors, whose sum is σ = 4369413888. Its totient is φ = 194641920.

The previous prime is 1020059017. The next prime is 1020059057. The reversal of 1020059040 is 409500201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020058998 and 1020059016.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5285184 + ... + 5285376.

It is an arithmetic number, because the mean of its divisors is an integer number (7585788).

Almost surely, 2^1020059040 is an apocalyptic number.

1020059040 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 1020059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184706944).

1020059040 is an abundant number, since it is smaller than the sum of its proper divisors (3349354848).

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

1020059040 is a wasteful number, since it uses less digits than its factorization.

1020059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1020059040 is about 31938.3631390214. The cubic root of 1020059040 is about 1006.6421310824.

Adding to 1020059040 its reverse (409500201), we get a palindrome (1429559241).

The spelling of 1020059040 in words is "one billion, twenty million, fifty-nine thousand, forty".