1041741120 has 448 divisors, whose sum is σ = 4096512000. Its totient is φ = 218972160.

The previous prime is 1041741119. The next prime is 1041741121. The reversal of 1041741120 is 211471401.

1041741120 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 (1041741119) and next prime (1041741121).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1041741120² = 2170449122197708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041741121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234781 + ... + 5234979.

It is an arithmetic number, because the mean of its divisors is an integer number (9144000).

Almost surely, 2^1041741120 is an apocalyptic number.

1041741120 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 1041741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1041741120 is an abundant number, since it is smaller than the sum of its proper divisors (3054770880).

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

1041741120 is a wasteful number, since it uses less digits than its factorization.

1041741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1041741120 is about 32276.0146238658. The cubic root of 1041741120 is about 1013.7244834982.

The spelling of 1041741120 in words is "one billion, forty-one million, seven hundred forty-one thousand, one hundred twenty".