41152129920 has 512 divisors, whose sum is σ = 165927398400. Its totient is φ = 9541509120.

The previous prime is 41152129861. The next prime is 41152129961. The reversal of 41152129920 is 2992125114.

41152129920 is a `hidden beast` number, since 41 + 1 + 521 + 2 + 9 + 92 + 0 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4367134 + ... + 4376546.

It is an arithmetic number, because the mean of its divisors is an integer number (324076950).

Almost surely, 2^41152129920 is an apocalyptic number.

41152129920 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 41152129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82963699200).

41152129920 is an abundant number, since it is smaller than the sum of its proper divisors (124775268480).

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

41152129920 is a wasteful number, since it uses less digits than its factorization.

41152129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 41152129920 in words is "forty-one billion, one hundred fifty-two million, one hundred twenty-nine thousand, nine hundred twenty".