41983920000 has 1600 divisors, whose sum is σ = 185070758400. Its totient is φ = 9331200000.

The previous prime is 41983919987. The next prime is 41983920023. The reversal of 41983920000 is 2938914.

41983920000 is a `hidden beast` number, since 419 + 8 + 39 + 200 + 0 + 0 = 666.

41983920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1354319985 + ... + 1354320015.

It is an arithmetic number, because the mean of its divisors is an integer number (115669224).

Almost surely, 2^41983920000 is an apocalyptic number.

41983920000 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 41983920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92535379200).

41983920000 is an abundant number, since it is smaller than the sum of its proper divisors (143086838400).

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

41983920000 is a wasteful number, since it uses less digits than its factorization.

41983920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 41983920000 in words is "forty-one billion, nine hundred eighty-three million, nine hundred twenty thousand".