7241145912 has 576 divisors, whose sum is σ = 27725967360. Its totient is φ = 1676505600.

The previous prime is 7241145907. The next prime is 7241145929. The reversal of 7241145912 is 2195411427.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15639393 + ... + 15639855.

It is an arithmetic number, because the mean of its divisors is an integer number (48135360).

Almost surely, 2^7241145912 is an apocalyptic number.

7241145912 is a gapful number since it is divisible by the number (72) 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 7241145912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862983680).

7241145912 is an abundant number, since it is smaller than the sum of its proper divisors (20484821448).

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

7241145912 is a wasteful number, since it uses less digits than its factorization.

7241145912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 7241145912 is about 85094.9229507848. The cubic root of 7241145912 is about 1934.6501124075.

The spelling of 7241145912 in words is "seven billion, two hundred forty-one million, one hundred forty-five thousand, nine hundred twelve".