40488352128 has 384 divisors, whose sum is σ = 139541875200. Its totient is φ = 11017543680.

The previous prime is 40488352127. The next prime is 40488352139. The reversal of 40488352128 is 82125388404.

40488352128 is a `hidden beast` number, since 4 + 0 + 48 + 83 + 521 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40488352123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77712508 + ... + 77713028.

It is an arithmetic number, because the mean of its divisors is an integer number (363390300).

Almost surely, 2^40488352128 is an apocalyptic number.

40488352128 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 40488352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69770937600).

40488352128 is an abundant number, since it is smaller than the sum of its proper divisors (99053523072).

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

40488352128 is a wasteful number, since it uses less digits than its factorization.

40488352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 40488352128 in words is "forty billion, four hundred eighty-eight million, three hundred fifty-two thousand, one hundred twenty-eight".