4080810240 has 576 divisors, whose sum is σ = 16153159680. Its totient is φ = 968785920.

The previous prime is 4080810193. The next prime is 4080810247. The reversal of 4080810240 is 420180804.

4080810240 is a `hidden beast` number, since 408 + 0 + 8 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (4080810247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13927534 + ... + 13927826.

It is an arithmetic number, because the mean of its divisors is an integer number (28043680).

Almost surely, 2^4080810240 is an apocalyptic number.

4080810240 is a gapful number since it is divisible by the number (40) 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 4080810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8076579840).

4080810240 is an abundant number, since it is smaller than the sum of its proper divisors (12072349440).

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

4080810240 is a wasteful number, since it uses less digits than its factorization.

4080810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4080810240 is about 63881.2197754551. The cubic root of 4080810240 is about 1598.0197167267.

The spelling of 4080810240 in words is "four billion, eighty million, eight hundred ten thousand, two hundred forty".