1024140003840 has 240 divisors, whose sum is σ = 3548219906088. Its totient is φ = 273001218048.

The previous prime is 1024140003823. The next prime is 1024140003869. The reversal of 1024140003840 is 483000414201.

1024140003840 is a `hidden beast` number, since 1 + 0 + 241 + 40 + 0 + 0 + 384 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 949361819904 + 74778183936 = 974352^2 + 273456^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76324812 + ... + 76338228.

Almost surely, 2^{1024140003840} is an apocalyptic number.

1024140003840 is a gapful number since it is divisible by the number (10) 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 1024140003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774109953044).

1024140003840 is an abundant number, since it is smaller than the sum of its proper divisors (2524079902248).

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

1024140003840 is a wasteful number, since it uses less digits than its factorization.

1024140003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759 (or 16740 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 1024140003840 in words is "one trillion, twenty-four billion, one hundred forty million, three thousand, eight hundred forty".