4001276448 has 288 divisors, whose sum is σ = 12857140800. Its totient is φ = 1209821184.

The previous prime is 4001276441. The next prime is 4001276453. The reversal of 4001276448 is 8446721004.

4001276448 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 2 + 7 + 644 + 8 = 666.

4001276448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (4001276441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9782868 + ... + 9783276.

It is an arithmetic number, because the mean of its divisors is an integer number (44642850).

Almost surely, 2^4001276448 is an apocalyptic number.

4001276448 is a gapful number since it is divisible by the number (48) 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 4001276448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428570400).

4001276448 is an abundant number, since it is smaller than the sum of its proper divisors (8855864352).

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

4001276448 is a wasteful number, since it uses less digits than its factorization.

4001276448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4001276448 is about 63255.6436059266. The cubic root of 4001276448 is about 1587.5698869186.

The spelling of 4001276448 in words is "four billion, one million, two hundred seventy-six thousand, four hundred forty-eight".