4202012244240 has 160 divisors (see below), whose sum is σ = 14517327081600. Its totient is φ = 1117151101440.

The previous prime is 4202012244233. The next prime is 4202012244251. The reversal of 4202012244240 is 424422102024.

4202012244240 is a `hidden beast` number, since 4 + 202 + 0 + 12 + 2 + 442 + 4 + 0 = 666.

4202012244240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223675 + ... + 3653594.

It is an arithmetic number, because the mean of its divisors is an integer number (90733294260).

Almost surely, 2^{4202012244240} is an apocalyptic number.

4202012244240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202012244240 is an abundant number, since it is smaller than the sum of its proper divisors (10315314837360).

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

4202012244240 is a wasteful number, since it uses less digits than its factorization.

4202012244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877622 (or 5877610 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4202012244240 its reverse (424422102024), we get a palindrome (4626434346264).

The spelling of 4202012244240 in words is "four trillion, two hundred two billion, twelve million, two hundred forty-four thousand, two hundred forty".