40210424208 has 120 divisors (see below), whose sum is σ = 116575987320. Its totient is φ = 12923258880.

The previous prime is 40210424201. The next prime is 40210424209. The reversal of 40210424208 is 80242401204.

40210424208 is a `hidden beast` number, since 4 + 0 + 210 + 424 + 20 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4061767824 + 36148656384 = 63732^2 + 190128^2 .

It is not an unprimeable number, because it can be changed into a prime (40210424201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3171610 + ... + 3184262.

It is an arithmetic number, because the mean of its divisors is an integer number (971466561).

Almost surely, 2^40210424208 is an apocalyptic number.

40210424208 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 40210424208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58287993660).

40210424208 is an abundant number, since it is smaller than the sum of its proper divisors (76365563112).

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

40210424208 is a wasteful number, since it uses less digits than its factorization.

40210424208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13448 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 40210424208 in words is "forty billion, two hundred ten million, four hundred twenty-four thousand, two hundred eight".