4003340106240 has 240 divisors, whose sum is σ = 14342787973800. Its totient is φ = 1030744866816.

The previous prime is 4003340106217. The next prime is 4003340106251. The reversal of 4003340106240 is 426010433004.

4003340106240 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 34 + 0 + 1 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3229812820224 + 773527286016 = 1797168^2 + 879504^2 .

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, 2327635 + ... + 3663954.

Almost surely, 2^{4003340106240} is an apocalyptic number.

4003340106240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003340106240 is an abundant number, since it is smaller than the sum of its proper divisors (10339447867560).

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

4003340106240 is a wasteful number, since it uses less digits than its factorization.

4003340106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991647 (or 5991628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4003340106240 its reverse (426010433004), we get a palindrome (4429350539244).

The spelling of 4003340106240 in words is "four trillion, three billion, three hundred forty million, one hundred six thousand, two hundred forty".