41881485735936 has 4608 divisors, whose sum is σ = 178858152345600. Its totient is φ = 9459597312000.

The previous prime is 41881485735907. The next prime is 41881485735967. The reversal of 41881485735936 is 63953758418814.

41881485735936 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 1 + 48 + 573 + 5 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 686581733346 + ... + 686581733406.

It is an arithmetic number, because the mean of its divisors is an integer number (38814703200).

Almost surely, 2^{41881485735936} is an apocalyptic number.

41881485735936 is a gapful number since it is divisible by the number (46) 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 41881485735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89429076172800).

41881485735936 is an abundant number, since it is smaller than the sum of its proper divisors (136976666609664).

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

41881485735936 is a wasteful number, since it uses less digits than its factorization.

41881485735936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 41881485735936 in words is "forty-one trillion, eight hundred eighty-one billion, four hundred eighty-five million, seven hundred thirty-five thousand, nine hundred thirty-six".