4090518144 has 224 divisors, whose sum is σ = 12441837600. Its totient is φ = 1338591744.

The previous prime is 4090518143. The next prime is 4090518161. The reversal of 4090518144 is 4418150904.

4090518144 is a `hidden beast` number, since 40 + 90 + 518 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4090518099 and 4090518108.

It is not an unprimeable number, because it can be changed into a prime (4090518143) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5505037 + ... + 5505779.

Almost surely, 2^4090518144 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 4090518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220918800).

4090518144 is an abundant number, since it is smaller than the sum of its proper divisors (8351319456).

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

4090518144 is an frugal number, since it uses more digits than its factorization.

4090518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4090518144 is about 63957.1586610913. The cubic root of 4090518144 is about 1599.2858980005.

It can be divided in two parts, 40905 and 18144, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 4090518144 in words is "four billion, ninety million, five hundred eighteen thousand, one hundred forty-four".