4080150144 has 320 divisors, whose sum is σ = 14697840960. Its totient is φ = 1096851456.

The previous prime is 4080150119. The next prime is 4080150163. The reversal of 4080150144 is 4410510804.

It is a happy number.

4080150144 is a `hidden beast` number, since 40 + 80 + 1 + 501 + 44 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 1232139 + ... + 1235445.

It is an arithmetic number, because the mean of its divisors is an integer number (45930753).

Almost surely, 2^4080150144 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 4080150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348920480).

4080150144 is an abundant number, since it is smaller than the sum of its proper divisors (10617690816).

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

4080150144 is a wasteful number, since it uses less digits than its factorization.

4080150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4080150144 is about 63876.0529776222. The cubic root of 4080150144 is about 1597.9335489281.

Adding to 4080150144 its reverse (4410510804), we get a palindrome (8490660948).

Subtracting 4080150144 from its reverse (4410510804), we obtain a triangular number (330360660 = T₂₅₇₀₄).

The spelling of 4080150144 in words is "four billion, eighty million, one hundred fifty thousand, one hundred forty-four".