1041870240 has 288 divisors, whose sum is σ = 3747416400. Its totient is φ = 263208960.

The previous prime is 1041870239. The next prime is 1041870241. The reversal of 1041870240 is 420781401.

1041870240 is a `hidden beast` number, since 1 + 0 + 418 + 7 + 0 + 240 = 666.

1041870240 is nontrivially palindromic in base 11.

1041870240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1041870239) and next prime (1041870241).

It can be written as a sum of positive squares in 8 ways, for example, as 400160016 + 641710224 = 20004^2 + 25332^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1041870241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547156 + ... + 2547564.

Almost surely, 2^1041870240 is an apocalyptic number.

1041870240 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 1041870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873708200).

1041870240 is an abundant number, since it is smaller than the sum of its proper divisors (2705546160).

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

1041870240 is a wasteful number, since it uses less digits than its factorization.

1041870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1041870240 is about 32278.0148088447. The cubic root of 1041870240 is about 1013.7663642480.

The spelling of 1041870240 in words is "one billion, forty-one million, eight hundred seventy thousand, two hundred forty".