1005111040 has 72 divisors (see below), whose sum is σ = 2512304928. Its totient is φ = 384552960.

The previous prime is 1005111013. The next prime is 1005111053. The reversal of 1005111040 is 401115001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005111040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12370 + ... + 46510.

It is an arithmetic number, because the mean of its divisors is an integer number (34893124).

Almost surely, 2^1005111040 is an apocalyptic number.

1005111040 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 1005111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256152464).

1005111040 is an abundant number, since it is smaller than the sum of its proper divisors (1507193888).

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

1005111040 is an equidigital number, since it uses as much as digits as its factorization.

1005111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34185 (or 34171 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 1005111040 is about 31703.4862436294. The cubic root of 1005111040 is about 1001.7007856881.

Adding to 1005111040 its reverse (401115001), we get a palindrome (1406226041).

The spelling of 1005111040 in words is "one billion, five million, one hundred eleven thousand, forty".