4212314403000 has 512 divisors, whose sum is σ = 14436388961280. Its totient is φ = 1014128640000.

The previous prime is 4212314402953. The next prime is 4212314403001. The reversal of 4212314403000 is 3044132124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212314403001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5352368607 + ... + 5352369393.

It is an arithmetic number, because the mean of its divisors is an integer number (28196072190).

Almost surely, 2^{4212314403000} is an apocalyptic number.

4212314403000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212314403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218194480640).

4212314403000 is an abundant number, since it is smaller than the sum of its proper divisors (10224074558280).

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

4212314403000 is a wasteful number, since it uses less digits than its factorization.

4212314403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4212314403000 its reverse (3044132124), we get a palindrome (4215358535124).

The spelling of 4212314403000 in words is "four trillion, two hundred twelve billion, three hundred fourteen million, four hundred three thousand".