41615152384000 has 192 divisors, whose sum is σ = 111834228607920. Its totient is φ = 15365593497600.

The previous prime is 41615152383967. The next prime is 41615152384031. The reversal of 41615152384000 is 48325151614.

It can be written as a sum of positive squares in 8 ways, for example, as 269635101696 + 41345517282304 = 519264^2 + 6430048^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2924277 + ... + 9580276.

Almost surely, 2^{41615152384000} is an apocalyptic number.

41615152384000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41615152384000 is an abundant number, since it is smaller than the sum of its proper divisors (70219076223920).

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

41615152384000 is a wasteful number, since it uses less digits than its factorization.

41615152384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504603 (or 12504573 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 41615152384000 in words is "forty-one trillion, six hundred fifteen billion, one hundred fifty-two million, three hundred eighty-four thousand".