4009425408 has 120 divisors (see below), whose sum is σ = 11790521028. Its totient is φ = 1311178752.

The previous prime is 4009425403. The next prime is 4009425443. The reversal of 4009425408 is 8045249004.

It can be written as a sum of positive squares in 2 ways, for example, as 4008409344 + 1016064 = 63312^2 + 1008^2 .

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 (4009425403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236016 + ... + 252432.

Almost surely, 2^4009425408 is an apocalyptic number.

4009425408 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 4009425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895260514).

4009425408 is an abundant number, since it is smaller than the sum of its proper divisors (7781095620).

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

4009425408 is a wasteful number, since it uses less digits than its factorization.

4009425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16494 (or 16475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4009425408 is about 63320.0237523645. The cubic root of 4009425408 is about 1588.6468991430.

The spelling of 4009425408 in words is "four billion, nine million, four hundred twenty-five thousand, four hundred eight".