41981829120 has 1792 divisors, whose sum is σ = 203830732800. Its totient is φ = 7927234560.

The previous prime is 41981829119. The next prime is 41981829157. The reversal of 41981829120 is 2192818914.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1447649266 + ... + 1447649294.

Almost surely, 2^41981829120 is an apocalyptic number.

41981829120 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 41981829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101915366400).

41981829120 is an abundant number, since it is smaller than the sum of its proper divisors (161848903680).

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

41981829120 is a wasteful number, since it uses less digits than its factorization.

41981829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 41981829120 in words is "forty-one billion, nine hundred eighty-one million, eight hundred twenty-nine thousand, one hundred twenty".