1041581520 has 480 divisors, whose sum is σ = 4294368000. Its totient is φ = 220962816.

The previous prime is 1041581509. The next prime is 1041581521. The reversal of 1041581520 is 251851401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041581521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6990406 + ... + 6990554.

It is an arithmetic number, because the mean of its divisors is an integer number (8946600).

Almost surely, 2^1041581520 is an apocalyptic number.

1041581520 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 1041581520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147184000).

1041581520 is an abundant number, since it is smaller than the sum of its proper divisors (3252786480).

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

1041581520 is a wasteful number, since it uses less digits than its factorization.

1041581520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 1041581520 is about 32273.5421049503. The cubic root of 1041581520 is about 1013.6727116176.

The spelling of 1041581520 in words is "one billion, forty-one million, five hundred eighty-one thousand, five hundred twenty".