41257100160 has 192 divisors, whose sum is σ = 143215637760. Its totient is φ = 10944000000.

The previous prime is 41257100141. The next prime is 41257100173. The reversal of 41257100160 is 6100175214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×41257100160² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081410 + ... + 1118910.

It is an arithmetic number, because the mean of its divisors is an integer number (745914780).

Almost surely, 2^41257100160 is an apocalyptic number.

41257100160 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 41257100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71607818880).

41257100160 is an abundant number, since it is smaller than the sum of its proper divisors (101958537600).

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

41257100160 is a wasteful number, since it uses less digits than its factorization.

41257100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37717 (or 37702 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 41257100160 its reverse (6100175214), we get a palindrome (47357275374).

The spelling of 41257100160 in words is "forty-one billion, two hundred fifty-seven million, one hundred thousand, one hundred sixty".