4161022126320 has 160 divisors (see below), whose sum is σ = 13146998663232. Its totient is φ = 1088301367296.

The previous prime is 4161022126319. The next prime is 4161022126357. The reversal of 4161022126320 is 236212201614.

4161022126320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4161022126320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38576784 + ... + 38684496.

Almost surely, 2^{4161022126320} is an apocalyptic number.

4161022126320 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 4161022126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573499331616).

4161022126320 is an abundant number, since it is smaller than the sum of its proper divisors (8985976536912).

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

4161022126320 is a wasteful number, since it uses less digits than its factorization.

4161022126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110819 (or 110813 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 4161022126320 its reverse (236212201614), we get a palindrome (4397234327934).

The spelling of 4161022126320 in words is "four trillion, one hundred sixty-one billion, twenty-two million, one hundred twenty-six thousand, three hundred twenty".