41538952656 has 240 divisors, whose sum is σ = 123171991488. Its totient is φ = 13548902400.

The previous prime is 41538952649. The next prime is 41538952661. The reversal of 41538952656 is 65625983514.

41538952656 is a `hidden beast` number, since 4 + 1 + 538 + 9 + 52 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7776000) is a multiple of the sum of its prime factors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47149336 + ... + 47150216.

Almost surely, 2^41538952656 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 41538952656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61585995744).

41538952656 is an abundant number, since it is smaller than the sum of its proper divisors (81633038832).

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

41538952656 is a wasteful number, since it uses less digits than its factorization.

41538952656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1134 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 41538952656 in words is "forty-one billion, five hundred thirty-eight million, nine hundred fifty-two thousand, six hundred fifty-six".