4082310144 has 352 divisors, whose sum is σ = 13645793280. Its totient is φ = 1194393600.

The previous prime is 4082310143. The next prime is 4082310149. The reversal of 4082310144 is 4410132804.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×4082310144² = 33330512223610601472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082310143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9427752 + ... + 9428184.

Almost surely, 2^4082310144 is an apocalyptic number.

4082310144 is a gapful number since it is divisible by the number (44) 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 4082310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822896640).

4082310144 is an abundant number, since it is smaller than the sum of its proper divisors (9563483136).

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

4082310144 is a wasteful number, since it uses less digits than its factorization.

4082310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4082310144 is about 63892.9584852666. The cubic root of 4082310144 is about 1598.2154770803.

Adding to 4082310144 its reverse (4410132804), we get a palindrome (8492442948).

The spelling of 4082310144 in words is "four billion, eighty-two million, three hundred ten thousand, one hundred forty-four".