4080363840 has 336 divisors, whose sum is σ = 16559662080. Its totient is φ = 902430720.

The previous prime is 4080363799. The next prime is 4080363853. The reversal of 4080363840 is 483630804.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 4080363795 and 4080363804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621696 + ... + 628224.

Almost surely, 2^4080363840 is an apocalyptic number.

4080363840 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 4080363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279831040).

4080363840 is an abundant number, since it is smaller than the sum of its proper divisors (12479298240).

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

4080363840 is a wasteful number, since it uses less digits than its factorization.

4080363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4080363840 is about 63877.7256952688. The cubic root of 4080363840 is about 1597.9614454543.

The spelling of 4080363840 in words is "four billion, eighty million, three hundred sixty-three thousand, eight hundred forty".