41125965248592 has 560 divisors, whose sum is σ = 146432524325760. Its totient is φ = 10921783661568.

The previous prime is 41125965248581. The next prime is 41125965248659. The reversal of 41125965248592 is 29584256952114.

It is a happy number.

41125965248592 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 5 + 9 + 65 + 2 + 485 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81969438 + ... + 82469634.

Almost surely, 2^{41125965248592} is an apocalyptic number.

41125965248592 is a gapful number since it is divisible by the number (42) 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 41125965248592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73216262162880).

41125965248592 is an abundant number, since it is smaller than the sum of its proper divisors (105306559077168).

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

41125965248592 is a wasteful number, since it uses less digits than its factorization.

41125965248592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500302 (or 500281 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 41125965248592 in words is "forty-one trillion, one hundred twenty-five billion, nine hundred sixty-five million, two hundred forty-eight thousand, five hundred ninety-two".