4049376480 has 288 divisors, whose sum is σ = 14310118368. Its totient is φ = 1042022400.

The previous prime is 4049376473. The next prime is 4049376511. The reversal of 4049376480 is 846739404.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6316960 + ... + 6317600.

It is an arithmetic number, because the mean of its divisors is an integer number (49687911).

Almost surely, 2^4049376480 is an apocalyptic number.

4049376480 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 4049376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155059184).

4049376480 is an abundant number, since it is smaller than the sum of its proper divisors (10260741888).

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

4049376480 is a wasteful number, since it uses less digits than its factorization.

4049376480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4049376480 is about 63634.7112824440. The cubic root of 4049376480 is about 1593.9060484805.

The spelling of 4049376480 in words is "four billion, forty-nine million, three hundred seventy-six thousand, four hundred eighty".