1005362040 has 64 divisors (see below), whose sum is σ = 3018656160. Its totient is φ = 267868160.

The previous prime is 1005362027. The next prime is 1005362041. The reversal of 1005362040 is 402635001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1005361998 and 1005362016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005362041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 174892 + ... + 180548.

Almost surely, 2^1005362040 is an apocalyptic number.

1005362040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005362040 is an abundant number, since it is smaller than the sum of its proper divisors (2013294120).

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

1005362040 is a wasteful number, since it uses less digits than its factorization.

1005362040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1005362040 is about 31707.4445517137. Note that the first 3 decimals coincide. The cubic root of 1005362040 is about 1001.7841615411.

Adding to 1005362040 its reverse (402635001), we get a palindrome (1407997041).

The spelling of 1005362040 in words is "one billion, five million, three hundred sixty-two thousand, forty".