40003002482688 has 960 divisors, whose sum is σ = 138367543910400. Its totient is φ = 11185575690240.

The previous prime is 40003002482563. The next prime is 40003002482699. The reversal of 40003002482688 is 88628420030004.

40003002482688 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 300 + 248 + 26 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63396200133 + ... + 63396200763.

It is an arithmetic number, because the mean of its divisors is an integer number (144132858240).

Almost surely, 2^{40003002482688} is an apocalyptic number.

40003002482688 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 40003002482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183771955200).

40003002482688 is an abundant number, since it is smaller than the sum of its proper divisors (98364541427712).

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

40003002482688 is an equidigital number, since it uses as much as digits as its factorization.

40003002482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 40003002482688 in words is "forty trillion, three billion, two million, four hundred eighty-two thousand, six hundred eighty-eight".