41388161760 has 960 divisors, whose sum is σ = 167172755904. Its totient is φ = 9555148800.

The previous prime is 41388161743. The next prime is 41388161791. The reversal of 41388161760 is 6716188314.

41388161760 is a `hidden beast` number, since 41 + 388 + 161 + 76 + 0 = 666.

41388161760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 426682032 + ... + 426682128.

Almost surely, 2^41388161760 is an apocalyptic number.

41388161760 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 41388161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83586377952).

41388161760 is an abundant number, since it is smaller than the sum of its proper divisors (125784594144).

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

41388161760 is a wasteful number, since it uses less digits than its factorization.

41388161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41388161760 in words is "forty-one billion, three hundred eighty-eight million, one hundred sixty-one thousand, seven hundred sixty".