7415941120 has 192 divisors, whose sum is σ = 20462682240. Its totient is φ = 2526806016.

The previous prime is 7415941079. The next prime is 7415941123. The reversal of 7415941120 is 211495147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7415941123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22005592 + ... + 22005928.

It is an arithmetic number, because the mean of its divisors is an integer number (106576470).

Almost surely, 2^7415941120 is an apocalyptic number.

7415941120 is a gapful number since it is divisible by the number (70) 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 7415941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231341120).

7415941120 is an abundant number, since it is smaller than the sum of its proper divisors (13046741120).

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

7415941120 is a wasteful number, since it uses less digits than its factorization.

7415941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 7415941120 is about 86115.8587020997. The cubic root of 7415941120 is about 1950.0934533340.

The spelling of 7415941120 in words is "seven billion, four hundred fifteen million, nine hundred forty-one thousand, one hundred twenty".