41315069952 has 624 divisors, whose sum is σ = 138915166208. Its totient is φ = 12182814720.

The previous prime is 41315069891. The next prime is 41315069963. The reversal of 41315069952 is 25996051314.

41315069952 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 506 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 41315069898 and 41315069907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401117133 + ... + 401117235.

Almost surely, 2^41315069952 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 41315069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457583104).

41315069952 is an abundant number, since it is smaller than the sum of its proper divisors (97600096256).

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

41315069952 is a wasteful number, since it uses less digits than its factorization.

41315069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 41315069952 in words is "forty-one billion, three hundred fifteen million, sixty-nine thousand, nine hundred fifty-two".