41189921520 has 240 divisors, whose sum is σ = 147975493248. Its totient is φ = 9397882880.

The previous prime is 41189921441. The next prime is 41189921561. The reversal of 41189921520 is 2512998114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41189921520² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735967 + ... + 789953.

Almost surely, 2^41189921520 is an apocalyptic number.

41189921520 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 41189921520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73987746624).

41189921520 is an abundant number, since it is smaller than the sum of its proper divisors (106785571728).

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

41189921520 is a wasteful number, since it uses less digits than its factorization.

41189921520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54048 (or 54025 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 41189921520 in words is "forty-one billion, one hundred eighty-nine million, nine hundred twenty-one thousand, five hundred twenty".