41388795360 has 432 divisors, whose sum is σ = 160619397120. Its totient is φ = 9686476800.

The previous prime is 41388795341. The next prime is 41388795377. The reversal of 41388795360 is 6359788314.

41388795360 is a `hidden beast` number, since 4 + 1 + 38 + 8 + 79 + 536 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41388795297 and 41388795306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5048865 + ... + 5057055.

It is an arithmetic number, because the mean of its divisors is an integer number (371804160).

Almost surely, 2^41388795360 is an apocalyptic number.

41388795360 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 41388795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80309698560).

41388795360 is an abundant number, since it is smaller than the sum of its proper divisors (119230601760).

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

41388795360 is a wasteful number, since it uses less digits than its factorization.

41388795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 41388795360 in words is "forty-one billion, three hundred eighty-eight million, seven hundred ninety-five thousand, three hundred sixty".