41726372298912 has 960 divisors, whose sum is σ = 145933872860160. Its totient is φ = 11449995853824.

The previous prime is 41726372298911. The next prime is 41726372298917. The reversal of 41726372298912 is 21989227362714.

41726372298912 is a `hidden beast` number, since 4 + 1 + 7 + 263 + 72 + 298 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41726372298912.

It is not an unprimeable number, because it can be changed into a prime (41726372298911) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10397798218 + ... + 10397802230.

It is an arithmetic number, because the mean of its divisors is an integer number (152014450896).

Almost surely, 2^{41726372298912} is an apocalyptic number.

41726372298912 is a gapful number since it is divisible by the number (42) 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 41726372298912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72966936430080).

41726372298912 is an abundant number, since it is smaller than the sum of its proper divisors (104207500561248).

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

41726372298912 is a wasteful number, since it uses less digits than its factorization.

41726372298912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4298 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 41726372298912 in words is "forty-one trillion, seven hundred twenty-six billion, three hundred seventy-two million, two hundred ninety-eight thousand, nine hundred twelve".