41676098913120 has 576 divisors, whose sum is σ = 157692924942336. Its totient is φ = 9215544360960.

The previous prime is 41676098913107. The next prime is 41676098913191. The reversal of 41676098913120 is 2131989067614.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2637219139 + ... + 2637234941.

It is an arithmetic number, because the mean of its divisors is an integer number (273772439136).

Almost surely, 2^{41676098913120} is an apocalyptic number.

41676098913120 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 41676098913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78846462471168).

41676098913120 is an abundant number, since it is smaller than the sum of its proper divisors (116016826029216).

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

41676098913120 is a wasteful number, since it uses less digits than its factorization.

41676098913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19483 (or 19468 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 41676098913120 in words is "forty-one trillion, six hundred seventy-six billion, ninety-eight million, nine hundred thirteen thousand, one hundred twenty".