40008800484 has 243 divisors, whose sum is σ = 112536968817. Its totient is φ = 11982117888.

The previous prime is 40008800473. The next prime is 40008800509. The reversal of 40008800484 is 48400880004.

The square root of 40008800484 is 200022.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1486102500 + 38522697984 = 38550^2 + 196272^2 .

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 (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 754883002 + ... + 754883054.

Almost surely, 2^40008800484 is an apocalyptic number.

40008800484 is the 200022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40008800484

40008800484 is an abundant number, since it is smaller than the sum of its proper divisors (72528168333).

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

40008800484 is a wasteful number, since it uses less digits than its factorization.

40008800484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 40008800484 by its sum of digits (36), we get a square (1440316817424 = 1200132²).

40008800484 divided by its sum of digits (36) gives a square (1111355569 = 33337²).

The spelling of 40008800484 in words is "forty billion, eight million, eight hundred thousand, four hundred eighty-four".