41955598080 has 864 divisors, whose sum is σ = 167025868800. Its totient is φ = 9963233280.

The previous prime is 41955598037. The next prime is 41955598099. The reversal of 41955598080 is 8089555914.

41955598080 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 559 + 8 + 0 + 80 = 666.

41955598080 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 (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330358977 + ... + 330359103.

Almost surely, 2^41955598080 is an apocalyptic number.

41955598080 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 41955598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83512934400).

41955598080 is an abundant number, since it is smaller than the sum of its proper divisors (125070270720).

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

41955598080 is a wasteful number, since it uses less digits than its factorization.

41955598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 41955598080 in words is "forty-one billion, nine hundred fifty-five million, five hundred ninety-eight thousand, eighty".