41396686848 has 624 divisors, whose sum is σ = 143113152000. Its totient is φ = 11824496640.

The previous prime is 41396686831. The next prime is 41396686879. The reversal of 41396686848 is 84868669314.

41396686848 is a `hidden beast` number, since 413 + 9 + 66 + 86 + 84 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208023453 + ... + 208023651.

It is an arithmetic number, because the mean of its divisors is an integer number (229348000).

Almost surely, 2^41396686848 is an apocalyptic number.

41396686848 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 41396686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556576000).

41396686848 is an abundant number, since it is smaller than the sum of its proper divisors (101716465152).

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

41396686848 is a wasteful number, since it uses less digits than its factorization.

41396686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

It can be divided in two parts, 41 and 396686848, that added together give a square (396686889 = 19917²).

The spelling of 41396686848 in words is "forty-one billion, three hundred ninety-six million, six hundred eighty-six thousand, eight hundred forty-eight".