41951452608 has 280 divisors, whose sum is σ = 135175508160. Its totient is φ = 12787476480.

The previous prime is 41951452579. The next prime is 41951452633. The reversal of 41951452608 is 80625415914.

41951452608 is a `hidden beast` number, since 4 + 195 + 1 + 452 + 6 + 0 + 8 = 666.

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 39 ways as a sum of consecutive naturals, for example, 7342873 + ... + 7348583.

It is an arithmetic number, because the mean of its divisors is an integer number (482769672).

Almost surely, 2^41951452608 is an apocalyptic number.

41951452608 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 41951452608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67587754080).

41951452608 is an abundant number, since it is smaller than the sum of its proper divisors (93224055552).

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

41951452608 is a wasteful number, since it uses less digits than its factorization.

41951452608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5838 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 4195145 and 2608, that added together give a triangular number (4197753 = T₂₈₉₇).

The spelling of 41951452608 in words is "forty-one billion, nine hundred fifty-one million, four hundred fifty-two thousand, six hundred eight".