41525977952514 has 144 divisors (see below), whose sum is σ = 97380171100800. Its totient is φ = 11793847887360.

The previous prime is 41525977952513. The next prime is 41525977952561.

41525977952514 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (41525977952513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49731492 + ... + 50559600.

It is an arithmetic number, because the mean of its divisors is an integer number (676251188200).

Almost surely, 2^{41525977952514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41525977952514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48690085550400).

41525977952514 is an abundant number, since it is smaller than the sum of its proper divisors (55854193148286).

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

41525977952514 is a wasteful number, since it uses less digits than its factorization.

41525977952514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828409 (or 828381 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 66.

The spelling of 41525977952514 in words is "forty-one trillion, five hundred twenty-five billion, nine hundred seventy-seven million, nine hundred fifty-two thousand, five hundred fourteen".