1041891840 has 240 divisors, whose sum is σ = 3937355136. Its totient is φ = 252518400.

The previous prime is 1041891793. The next prime is 1041891853. The reversal of 1041891840 is 481981401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1041891795 and 1041891804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251385 + ... + 255495.

Almost surely, 2^1041891840 is an apocalyptic number.

1041891840 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 1041891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968677568).

1041891840 is an abundant number, since it is smaller than the sum of its proper divisors (2895463296).

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

1041891840 is a wasteful number, since it uses less digits than its factorization.

1041891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1041891840 is about 32278.3494001784. The cubic root of 1041891840 is about 1013.7733699836.

The spelling of 1041891840 in words is "one billion, forty-one million, eight hundred ninety-one thousand, eight hundred forty".