41620708128 has 192 divisors, whose sum is σ = 117156049920. Its totient is φ = 12908851200.

The previous prime is 41620708121. The next prime is 41620708177. The reversal of 41620708128 is 82180702614.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41620708121) 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, 23905338 + ... + 23907078.

It is an arithmetic number, because the mean of its divisors is an integer number (610187760).

Almost surely, 2^41620708128 is an apocalyptic number.

41620708128 is a gapful number since it is divisible by the number (48) 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 41620708128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58578024960).

41620708128 is an abundant number, since it is smaller than the sum of its proper divisors (75535341792).

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

41620708128 is a wasteful number, since it uses less digits than its factorization.

41620708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 41620708128 in words is "forty-one billion, six hundred twenty million, seven hundred eight thousand, one hundred twenty-eight".