1741125120 has 320 divisors, whose sum is σ = 6434588160. Its totient is φ = 393412608.

The previous prime is 1741125109. The next prime is 1741125121. The reversal of 1741125120 is 215211471.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1741125121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7472524 + ... + 7472756.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 2^1741125120 is an apocalyptic number.

1741125120 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 1741125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1741125120 is an abundant number, since it is smaller than the sum of its proper divisors (4693463040).

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

1741125120 is a wasteful number, since it uses less digits than its factorization.

1741125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 1741125120 is about 41726.7913935400. The cubic root of 1741125120 is about 1203.0305621899.

Adding to 1741125120 its reverse (215211471), we get a palindrome (1956336591).

The spelling of 1741125120 in words is "one billion, seven hundred forty-one million, one hundred twenty-five thousand, one hundred twenty".