41520548160 has 1120 divisors, whose sum is σ = 188357621760. Its totient is φ = 8444362752.

The previous prime is 41520548141. The next prime is 41520548219. The reversal of 41520548160 is 6184502514.

It is a happy number.

41520548160 is a `hidden beast` number, since 4 + 1 + 52 + 0 + 548 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68402577 + ... + 68403183.

It is an arithmetic number, because the mean of its divisors is an integer number (168176448).

Almost surely, 2^41520548160 is an apocalyptic number.

41520548160 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 41520548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94178810880).

41520548160 is an abundant number, since it is smaller than the sum of its proper divisors (146837073600).

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

41520548160 is a wasteful number, since it uses less digits than its factorization.

41520548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 41520548160 in words is "forty-one billion, five hundred twenty million, five hundred forty-eight thousand, one hundred sixty".