4090144032 has 192 divisors, whose sum is σ = 12909093120. Its totient is φ = 1252454400.

The previous prime is 4090143991. The next prime is 4090144033. The reversal of 4090144032 is 2304410904.

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

It is a junction number, because it is equal to n+sod(n) for n = 4090143987 and 4090144005.

It is not an unprimeable number, because it can be changed into a prime (4090144033) 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, 2706157 + ... + 2707667.

It is an arithmetic number, because the mean of its divisors is an integer number (67234860).

Almost surely, 2^4090144032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454546560).

4090144032 is an abundant number, since it is smaller than the sum of its proper divisors (8818949088).

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

4090144032 is a wasteful number, since it uses less digits than its factorization.

4090144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4090144032 is about 63954.2338864285. The cubic root of 4090144032 is about 1599.2371405028.

Adding to 4090144032 its reverse (2304410904), we get a palindrome (6394554936).

The spelling of 4090144032 in words is "four billion, ninety million, one hundred forty-four thousand, thirty-two".