41152455024100 has 216 divisors, whose sum is σ = 104118676264680. Its totient is φ = 14077108039680.

The previous prime is 41152455024089. The next prime is 41152455024209. The reversal of 41152455024100 is 142055425114.

It can be written as a sum of positive squares in 12 ways, for example, as 1872753932196 + 39279701091904 = 1368486^2 + 6267352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4505903134 + ... + 4505912266.

Almost surely, 2^{41152455024100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41152455024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52059338132340).

41152455024100 is an abundant number, since it is smaller than the sum of its proper divisors (62966221240580).

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

41152455024100 is a wasteful number, since it uses less digits than its factorization.

41152455024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 41152455024100 in words is "forty-one trillion, one hundred fifty-two billion, four hundred fifty-five million, twenty-four thousand, one hundred".