41948565120 has 1536 divisors, whose sum is σ = 195037839360. Its totient is φ = 8360755200.

The previous prime is 41948565091. The next prime is 41948565121. The reversal of 41948565120 is 2156584914.

41948565120 is a `hidden beast` number, since 41 + 9 + 48 + 56 + 512 + 0 = 666.

It is a super-2 number, since 2×41948565120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41948565121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 371226184 + ... + 371226296.

It is an arithmetic number, because the mean of its divisors is an integer number (126977760).

Almost surely, 2^41948565120 is an apocalyptic number.

41948565120 is a gapful number since it is divisible by the number (40) 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 41948565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97518919680).

41948565120 is an abundant number, since it is smaller than the sum of its proper divisors (153089274240).

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

41948565120 is a wasteful number, since it uses less digits than its factorization.

41948565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 41948565120 in words is "forty-one billion, nine hundred forty-eight million, five hundred sixty-five thousand, one hundred twenty".