40484488032 has 288 divisors, whose sum is σ = 123956632800. Its totient is φ = 12496011264.

The previous prime is 40484488021. The next prime is 40484488039. The reversal of 40484488032 is 23088448404.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40484488039) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47239348 + ... + 47240204.

It is an arithmetic number, because the mean of its divisors is an integer number (430404975).

Almost surely, 2^40484488032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40484488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61978316400).

40484488032 is an abundant number, since it is smaller than the sum of its proper divisors (83472144768).

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

40484488032 is a wasteful number, since it uses less digits than its factorization.

40484488032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 40484488032 in words is "forty billion, four hundred eighty-four million, four hundred eighty-eight thousand, thirty-two".