41157929588160 has 448 divisors, whose sum is σ = 163024641736704. Its totient is φ = 8546870169600.

The previous prime is 41157929588137. The next prime is 41157929588173. The reversal of 41157929588160 is 6188592975114.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 41157929588091 and 41157929588100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116839495 + ... + 117191225.

Almost surely, 2^{41157929588160} is an apocalyptic number.

41157929588160 is a gapful number since it is divisible by the number (40) 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 41157929588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81512320868352).

41157929588160 is an abundant number, since it is smaller than the sum of its proper divisors (121866712148544).

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

41157929588160 is a wasteful number, since it uses less digits than its factorization.

41157929588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353352 (or 353342 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 66.

The spelling of 41157929588160 in words is "forty-one trillion, one hundred fifty-seven billion, nine hundred twenty-nine million, five hundred eighty-eight thousand, one hundred sixty".