4209748163712 has 960 divisors, whose sum is σ = 15613514674560. Its totient is φ = 1102425292800.

The previous prime is 4209748163701. The next prime is 4209748163723. The reversal of 4209748163712 is 2173618479024.

4209748163712 is a `hidden beast` number, since 4 + 2 + 0 + 97 + 481 + 6 + 3 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4209748163701) and next prime (4209748163723).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1852065808 + ... + 1852068080.

It is an arithmetic number, because the mean of its divisors is an integer number (16264077786).

Almost surely, 2^{4209748163712} is an apocalyptic number.

4209748163712 is a gapful number since it is divisible by the number (42) 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 4209748163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806757337280).

4209748163712 is an abundant number, since it is smaller than the sum of its proper divisors (11403766510848).

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

4209748163712 is a wasteful number, since it uses less digits than its factorization.

4209748163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4209748163712 in words is "four trillion, two hundred nine billion, seven hundred forty-eight million, one hundred sixty-three thousand, seven hundred twelve".