40638827520 has 880 divisors, whose sum is σ = 156934483200. Its totient is φ = 10032906240.

The previous prime is 40638827503. The next prime is 40638827531. The reversal of 40638827520 is 2572883604.

40638827520 is a `hidden beast` number, since 4 + 0 + 638 + 8 + 2 + 7 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 372833226 + ... + 372833334.

It is an arithmetic number, because the mean of its divisors is an integer number (178334640).

Almost surely, 2^40638827520 is an apocalyptic number.

40638827520 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 40638827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78467241600).

40638827520 is an abundant number, since it is smaller than the sum of its proper divisors (116295655680).

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

40638827520 is a wasteful number, since it uses less digits than its factorization.

40638827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40638827520 in words is "forty billion, six hundred thirty-eight million, eight hundred twenty-seven thousand, five hundred twenty".