4162113656610 has 256 divisors, whose sum is σ = 12612860338176. Its totient is φ = 855691941888.

The previous prime is 4162113656609. The next prime is 4162113656621. The reversal of 4162113656610 is 166563112614.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16415259 + ... + 16666881.

It is an arithmetic number, because the mean of its divisors is an integer number (49268985696).

Almost surely, 2^{4162113656610} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162113656610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306430169088).

4162113656610 is an abundant number, since it is smaller than the sum of its proper divisors (8450746681566).

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

4162113656610 is a wasteful number, since it uses less digits than its factorization.

4162113656610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251809.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 4162113656610 in words is "four trillion, one hundred sixty-two billion, one hundred thirteen million, six hundred fifty-six thousand, six hundred ten".