41684897464128 has 224 divisors, whose sum is σ = 125507695948800. Its totient is φ = 13559714606592.

The previous prime is 41684897464121. The next prime is 41684897464211. The reversal of 41684897464128 is 82146479848614.

It is a happy number.

41684897464128 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 489 + 74 + 64 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41684897464121) 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, 83193613 + ... + 83693171.

Almost surely, 2^{41684897464128} is an apocalyptic number.

41684897464128 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 41684897464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62753847974400).

41684897464128 is an abundant number, since it is smaller than the sum of its proper divisors (83822798484672).

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

41684897464128 is a wasteful number, since it uses less digits than its factorization.

41684897464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500746 (or 500730 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 41684897464128 in words is "forty-one trillion, six hundred eighty-four billion, eight hundred ninety-seven million, four hundred sixty-four thousand, one hundred twenty-eight".