41988104256 has 672 divisors, whose sum is σ = 145279872000. Its totient is φ = 10439331840.

The previous prime is 41988104251. The next prime is 41988104261. The reversal of 41988104256 is 65240188914.

It is an interprime number because it is at equal distance from previous prime (41988104251) and next prime (41988104261).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41988104251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711662755 + ... + 711662813.

Almost surely, 2^41988104256 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 41988104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72639936000).

41988104256 is an abundant number, since it is smaller than the sum of its proper divisors (103291767744).

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

41988104256 is a wasteful number, since it uses less digits than its factorization.

41988104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 41988104256 in words is "forty-one billion, nine hundred eighty-eight million, one hundred four thousand, two hundred fifty-six".