41789950272 has 1008 divisors, whose sum is σ = 156834961920. Its totient is φ = 10973491200.

The previous prime is 41789950253. The next prime is 41789950283. The reversal of 41789950272 is 27205998714.

41789950272 is a `hidden beast` number, since 41 + 7 + 8 + 99 + 502 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685081122 + ... + 685081182.

It is an arithmetic number, because the mean of its divisors is an integer number (155590240).

Almost surely, 2^41789950272 is an apocalyptic number.

41789950272 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 41789950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78417480960).

41789950272 is an abundant number, since it is smaller than the sum of its proper divisors (115045011648).

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

41789950272 is a wasteful number, since it uses less digits than its factorization.

41789950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 41789950272 in words is "forty-one billion, seven hundred eighty-nine million, nine hundred fifty thousand, two hundred seventy-two".