4212142440 has 64 divisors (see below), whose sum is σ = 13785197760. Its totient is φ = 1021125120.

The previous prime is 4212142393. The next prime is 4212142447. The reversal of 4212142440 is 442412124.

It is a super-3 number, since 3×4212142440³ (a number of 30 digits) contains 333 as substring.

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 4212142440.

It is not an unprimeable number, because it can be changed into a prime (4212142447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1594189 + ... + 1596828.

It is an arithmetic number, because the mean of its divisors is an integer number (215393715).

Almost surely, 2^4212142440 is an apocalyptic number.

4212142440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212142440 is an abundant number, since it is smaller than the sum of its proper divisors (9573055320).

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

4212142440 is a wasteful number, since it uses less digits than its factorization.

4212142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191042 (or 3191038 counting only the distinct ones).

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

The square root of 4212142440 is about 64901.0203309624. The cubic root of 4212142440 is about 1614.9819881884.

Adding to 4212142440 its reverse (442412124), we get a palindrome (4654554564).

The spelling of 4212142440 in words is "four billion, two hundred twelve million, one hundred forty-two thousand, four hundred forty".