40160510208 has 360 divisors, whose sum is σ = 147393232448. Its totient is φ = 10591285248.

The previous prime is 40160510177. The next prime is 40160510233. The reversal of 40160510208 is 80201506104.

40160510208 is a `hidden beast` number, since 40 + 1 + 605 + 10 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×40160510208² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1876335 + ... + 1897617.

Almost surely, 2^40160510208 is an apocalyptic number.

40160510208 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 40160510208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73696616224).

40160510208 is an abundant number, since it is smaller than the sum of its proper divisors (107232722240).

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

40160510208 is a wasteful number, since it uses less digits than its factorization.

40160510208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21331 (or 21308 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 40160510208 in words is "forty billion, one hundred sixty million, five hundred ten thousand, two hundred eight".