1010315040 has 192 divisors, whose sum is σ = 3657830400. Its totient is φ = 229616640.

The previous prime is 1010315023. The next prime is 1010315041. The reversal of 1010315040 is 405130101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1010315041) 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 31 ways as a sum of consecutive naturals, for example, 667885 + ... + 669395.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^1010315040 is an apocalyptic number.

1010315040 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 1010315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1010315040 is an abundant number, since it is smaller than the sum of its proper divisors (2647515360).

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

1010315040 is a wasteful number, since it uses less digits than its factorization.

1010315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1010315040 is about 31785.4532766170. The cubic root of 1010315040 is about 1003.4265917247.

Adding to 1010315040 its reverse (405130101), we get a palindrome (1415445141).

The spelling of 1010315040 in words is "one billion, ten million, three hundred fifteen thousand, forty".