41526342144 has 640 divisors, whose sum is σ = 147495321600. Its totient is φ = 11287019520.

The previous prime is 41526342101. The next prime is 41526342149. The reversal of 41526342144 is 44124362514.

41526342144 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 634 + 2 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 41526342099 and 41526342108.

It is not an unprimeable number, because it can be changed into a prime (41526342149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326979009 + ... + 326979135.

It is an arithmetic number, because the mean of its divisors is an integer number (230461440).

Almost surely, 2^41526342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41526342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73747660800).

41526342144 is an abundant number, since it is smaller than the sum of its proper divisors (105968979456).

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

41526342144 is a wasteful number, since it uses less digits than its factorization.

41526342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 41526342144 in words is "forty-one billion, five hundred twenty-six million, three hundred forty-two thousand, one hundred forty-four".