41153951520 has 1152 divisors, whose sum is σ = 170371289088. Its totient is φ = 8941363200.

The previous prime is 41153951507. The next prime is 41153951537. The reversal of 41153951520 is 2515935114.

It is a happy number.

41153951520 is a `hidden beast` number, since 4 + 115 + 3 + 9 + 515 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 579633085 + ... + 579633155.

It is an arithmetic number, because the mean of its divisors is an integer number (147891744).

Almost surely, 2^41153951520 is an apocalyptic number.

41153951520 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 41153951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85185644544).

41153951520 is an abundant number, since it is smaller than the sum of its proper divisors (129217337568).

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

41153951520 is a wasteful number, since it uses less digits than its factorization.

41153951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 41153951520 in words is "forty-one billion, one hundred fifty-three million, nine hundred fifty-one thousand, five hundred twenty".