41623742160 has 2240 divisors, whose sum is σ = 209842569216. Its totient is φ = 7390310400.

The previous prime is 41623742141. The next prime is 41623742203. The reversal of 41623742160 is 6124732614.

41623742160 is a `hidden beast` number, since 4 + 1 + 623 + 7 + 4 + 21 + 6 + 0 = 666.

It is a super-2 number, since 2×41623742160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1342701345 + ... + 1342701375.

Almost surely, 2^41623742160 is an apocalyptic number.

41623742160 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 41623742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104921284608).

41623742160 is an abundant number, since it is smaller than the sum of its proper divisors (168218827056).

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

41623742160 is a wasteful number, since it uses less digits than its factorization.

41623742160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 41623742160 in words is "forty-one billion, six hundred twenty-three million, seven hundred forty-two thousand, one hundred sixty".