1040124960 has 216 divisors, whose sum is σ = 4129204716. Its totient is φ = 237726720.

The previous prime is 1040124949. The next prime is 1040124997. The reversal of 1040124960 is 694210401.

1040124960 is a `hidden beast` number, since 10 + 401 + 249 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 981694224 + 58430736 = 31332^2 + 7644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63190 + ... + 77930.

Almost surely, 2^1040124960 is an apocalyptic number.

1040124960 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 1040124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064602358).

1040124960 is an abundant number, since it is smaller than the sum of its proper divisors (3089079756).

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

1040124960 is a wasteful number, since it uses less digits than its factorization.

1040124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14776 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1040124960 is about 32250.9683575548. The cubic root of 1040124960 is about 1013.1999805281.

The spelling of 1040124960 in words is "one billion, forty million, one hundred twenty-four thousand, nine hundred sixty".