4021124214240 has 144 divisors (see below), whose sum is σ = 15682384474848. Its totient is φ = 919114103808.

The previous prime is 4021124214197. The next prime is 4021124214253. The reversal of 4021124214240 is 424124211204.

4021124214240 is a `hidden beast` number, since 4 + 0 + 211 + 2 + 4 + 21 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 199450447 + ... + 199470606.

It is an arithmetic number, because the mean of its divisors is an integer number (108905447742).

Almost surely, 2^{4021124214240} is an apocalyptic number.

4021124214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4021124214240 is an abundant number, since it is smaller than the sum of its proper divisors (11661260260608).

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

4021124214240 is a wasteful number, since it uses less digits than its factorization.

4021124214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398921081 (or 398921070 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4021124214240 its reverse (424124211204), we get a palindrome (4445248425444).

It can be divided in two parts, 4021124 and 214240, that added together give a square (4235364 = 2058²).

The spelling of 4021124214240 in words is "four trillion, twenty-one billion, one hundred twenty-four million, two hundred fourteen thousand, two hundred forty".