41578062120 has 768 divisors, whose sum is σ = 172860480000. Its totient is φ = 8623448064.

The previous prime is 41578062101. The next prime is 41578062131. The reversal of 41578062120 is 2126087514.

41578062120 is a `hidden beast` number, since 4 + 1 + 5 + 7 + 8 + 0 + 621 + 20 = 666.

41578062120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60875299 + ... + 60875981.

It is an arithmetic number, because the mean of its divisors is an integer number (225078750).

Almost surely, 2^41578062120 is an apocalyptic number.

41578062120 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 41578062120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86430240000).

41578062120 is an abundant number, since it is smaller than the sum of its proper divisors (131282417880).

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

41578062120 is a wasteful number, since it uses less digits than its factorization.

41578062120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 41578062120 in words is "forty-one billion, five hundred seventy-eight million, sixty-two thousand, one hundred twenty".