41199253585920 has 2112 divisors, whose sum is σ = 167084925396480. Its totient is φ = 9686627647488.

The previous prime is 41199253585907. The next prime is 41199253585951. The reversal of 41199253585920 is 2958535299114.

41199253585920 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 9 + 2 + 5 + 35 + 8 + 592 + 0 = 666.

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, 1113493340142 + ... + 1113493340178.

Almost surely, 2^{41199253585920} is an apocalyptic number.

41199253585920 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 41199253585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83542462698240).

41199253585920 is an abundant number, since it is smaller than the sum of its proper divisors (125885671810560).

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

41199253585920 is an frugal number, since it uses more digits than its factorization.

41199253585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 41199253585920 in words is "forty-one trillion, one hundred ninety-nine billion, two hundred fifty-three million, five hundred eighty-five thousand, nine hundred twenty".