40681280160 has 768 divisors, whose sum is σ = 158018273280. Its totient is φ = 9729884160.

The previous prime is 40681280149. The next prime is 40681280221. The reversal of 40681280160 is 6108218604.

40681280160 is a `hidden beast` number, since 406 + 8 + 12 + 80 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243600397 + ... + 243600563.

It is an arithmetic number, because the mean of its divisors is an integer number (205752960).

Almost surely, 2^40681280160 is an apocalyptic number.

40681280160 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 40681280160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79009136640).

40681280160 is an abundant number, since it is smaller than the sum of its proper divisors (117336993120).

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

40681280160 is a wasteful number, since it uses less digits than its factorization.

40681280160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 40681280160 its reverse (6108218604), we get a palindrome (46789498764).

The spelling of 40681280160 in words is "forty billion, six hundred eighty-one million, two hundred eighty thousand, one hundred sixty".