41309097984000 has 4608 divisors, whose sum is σ = 197975258208000. Its totient is φ = 8583708672000.

The previous prime is 41309097983921. The next prime is 41309097984017. The reversal of 41309097984000 is 48979090314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3755372543995 + ... + 3755372544005.

Almost surely, 2^{41309097984000} is an apocalyptic number.

41309097984000 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 41309097984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98987629104000).

41309097984000 is an abundant number, since it is smaller than the sum of its proper divisors (156666160224000).

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

41309097984000 is an frugal number, since it uses more digits than its factorization.

41309097984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 41309097984000 in words is "forty-one trillion, three hundred nine billion, ninety-seven million, nine hundred eighty-four thousand".