4142214240 has 48 divisors (see below), whose sum is σ = 13047976368. Its totient is φ = 1104590336.

The previous prime is 4142214229. The next prime is 4142214247. The reversal of 4142214240 is 424122414.

4142214240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4142214240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142214247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4314327 + ... + 4315286.

It is an arithmetic number, because the mean of its divisors is an integer number (271832841).

Almost surely, 2^4142214240 is an apocalyptic number.

4142214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142214240 is an abundant number, since it is smaller than the sum of its proper divisors (8905762128).

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

4142214240 is a wasteful number, since it uses less digits than its factorization.

4142214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629631 (or 8629623 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4142214240 is about 64360.0360472242. The cubic root of 4142214240 is about 1605.9949886813.

Adding to 4142214240 its reverse (424122414), we get a palindrome (4566336654).

The spelling of 4142214240 in words is "four billion, one hundred forty-two million, two hundred fourteen thousand, two hundred forty".