8406441120 has 1152 divisors, whose sum is σ = 37066014720. Its totient is φ = 1561190400.

The previous prime is 8406441101. The next prime is 8406441161. The reversal of 8406441120 is 211446048.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271175505 + ... + 271175535.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^8406441120 is an apocalyptic number.

8406441120 is a gapful number since it is divisible by the number (80) 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 8406441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533007360).

8406441120 is an abundant number, since it is smaller than the sum of its proper divisors (28659573600).

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

8406441120 is a wasteful number, since it uses less digits than its factorization.

8406441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8406441120 is about 91686.6463559443. The cubic root of 8406441120 is about 2033.3121626987.

Adding to 8406441120 its reverse (211446048), we get a palindrome (8617887168).

The spelling of 8406441120 in words is "eight billion, four hundred six million, four hundred forty-one thousand, one hundred twenty".