41129417952 has 288 divisors, whose sum is σ = 145920902400. Its totient is φ = 11132494848.

The previous prime is 41129417941. The next prime is 41129417983. The reversal of 41129417952 is 25971492114.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 41129417898 and 41129417907.

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, 1014324 + ... + 1054092.

It is an arithmetic number, because the mean of its divisors is an integer number (506669800).

Almost surely, 2^41129417952 is an apocalyptic number.

41129417952 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 41129417952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72960451200).

41129417952 is an abundant number, since it is smaller than the sum of its proper divisors (104791484448).

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

41129417952 is a wasteful number, since it uses less digits than its factorization.

41129417952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39820 (or 39800 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 41129417952 in words is "forty-one billion, one hundred twenty-nine million, four hundred seventeen thousand, nine hundred fifty-two".