1015415040 has 144 divisors (see below), whose sum is σ = 3384275328. Its totient is φ = 258981888.

The previous prime is 1015415039. The next prime is 1015415041. The reversal of 1015415040 is 405145101.

It is an interprime number because it is at equal distance from previous prime (1015415039) and next prime (1015415041).

It is a junction number, because it is equal to n+sod(n) for n = 1015414998 and 1015415016.

It is not an unprimeable number, because it can be changed into a prime (1015415041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82572 + ... + 94068.

It is an arithmetic number, because the mean of its divisors is an integer number (23501912).

Almost surely, 2^1015415040 is an apocalyptic number.

1015415040 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 1015415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692137664).

1015415040 is an abundant number, since it is smaller than the sum of its proper divisors (2368860288).

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

1015415040 is a wasteful number, since it uses less digits than its factorization.

1015415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1015415040 is about 31865.5776661902. The cubic root of 1015415040 is about 1005.1121678721.

The spelling of 1015415040 in words is "one billion, fifteen million, four hundred fifteen thousand, forty".