41688760320 has 640 divisors, whose sum is σ = 161061120000. Its totient is φ = 10192158720.

The previous prime is 41688760273. The next prime is 41688760327. The reversal of 41688760320 is 2306788614.

41688760320 is a `hidden beast` number, since 4 + 16 + 8 + 8 + 7 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41688760327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344798705 + ... + 1344798735.

It is an arithmetic number, because the mean of its divisors is an integer number (251658000).

Almost surely, 2^41688760320 is an apocalyptic number.

41688760320 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 41688760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80530560000).

41688760320 is an abundant number, since it is smaller than the sum of its proper divisors (119372359680).

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

41688760320 is an frugal number, since it uses more digits than its factorization.

41688760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41688760320 in words is "forty-one billion, six hundred eighty-eight million, seven hundred sixty thousand, three hundred twenty".