4214707944160 has 144 divisors (see below), whose sum is σ = 11595998250144. Its totient is φ = 1443411207168.

The previous prime is 4214707944137. The next prime is 4214707944163. The reversal of 4214707944160 is 614497074124.

4214707944160 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 (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214707944163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6651042 + ... + 7257118.

It is an arithmetic number, because the mean of its divisors is an integer number (80527765626).

Almost surely, 2^{4214707944160} is an apocalyptic number.

4214707944160 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 4214707944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797999125072).

4214707944160 is an abundant number, since it is smaller than the sum of its proper divisors (7381290305984).

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

4214707944160 is a wasteful number, since it uses less digits than its factorization.

4214707944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606993 (or 606978 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 4214707944160 in words is "four trillion, two hundred fourteen billion, seven hundred seven million, nine hundred forty-four thousand, one hundred sixty".