1017276040 has 96 divisors (see below), whose sum is σ = 2541997080. Its totient is φ = 366080000.

The previous prime is 1017276023. The next prime is 1017276041. The reversal of 1017276040 is 406727101.

It can be written as a sum of positive squares in 4 ways, for example, as 963605764 + 53670276 = 31042^2 + 7326^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1017276041) 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 23 ways as a sum of consecutive naturals, for example, 487800 + ... + 489880.

Almost surely, 2^1017276040 is an apocalyptic number.

1017276040 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 1017276040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270998540).

1017276040 is an abundant number, since it is smaller than the sum of its proper divisors (1524721040).

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

1017276040 is a wasteful number, since it uses less digits than its factorization.

1017276040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1017276040 is about 31894.7650877068. The cubic root of 1017276040 is about 1005.7258322707.

The spelling of 1017276040 in words is "one billion, seventeen million, two hundred seventy-six thousand, forty".