4168621105152 has 448 divisors, whose sum is σ = 13183771797504. Its totient is φ = 1146806599680.

The previous prime is 4168621105073. The next prime is 4168621105153. The reversal of 4168621105152 is 2515011268614.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4168621105153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525209728 + ... + 525217664.

It is an arithmetic number, because the mean of its divisors is an integer number (29428062048).

Almost surely, 2^{4168621105152} is an apocalyptic number.

4168621105152 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 4168621105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591885898752).

4168621105152 is an abundant number, since it is smaller than the sum of its proper divisors (9015150692352).

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

4168621105152 is an equidigital number, since it uses as much as digits as its factorization.

4168621105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 4168621105152 in words is "four trillion, one hundred sixty-eight billion, six hundred twenty-one million, one hundred five thousand, one hundred fifty-two".