40525406208 has 672 divisors, whose sum is σ = 147211084800. Its totient is φ = 10475274240.

The previous prime is 40525406161. The next prime is 40525406231. The reversal of 40525406208 is 80260452504.

It is a happy number.

40525406208 is a `hidden beast` number, since 4 + 0 + 5 + 25 + 4 + 0 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 47 ways as a sum of consecutive naturals, for example, 271982518 + ... + 271982666.

Almost surely, 2^40525406208 is an apocalyptic number.

40525406208 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 40525406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73605542400).

40525406208 is an abundant number, since it is smaller than the sum of its proper divisors (106685678592).

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

40525406208 is a wasteful number, since it uses less digits than its factorization.

40525406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40525406208 in words is "forty billion, five hundred twenty-five million, four hundred six thousand, two hundred eight".