40901447808 has 384 divisors, whose sum is σ = 134379226800. Its totient is φ = 11849564160.

The previous prime is 40901447761. The next prime is 40901447813. The reversal of 40901447808 is 80874410904.

40901447808 is a `hidden beast` number, since 40 + 90 + 1 + 447 + 80 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3695667264 + 37205780544 = 60792^2 + 192888^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 17805316 + ... + 17807612.

Almost surely, 2^40901447808 is an apocalyptic number.

40901447808 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 40901447808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67189613400).

40901447808 is an abundant number, since it is smaller than the sum of its proper divisors (93477778992).

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

40901447808 is a wasteful number, since it uses less digits than its factorization.

40901447808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 40901447808 in words is "forty billion, nine hundred one million, four hundred forty-seven thousand, eight hundred eight".