4009419648 has 320 divisors, whose sum is σ = 13000569120. Its totient is φ = 1219276800.

The previous prime is 4009419637. The next prime is 4009419649. The reversal of 4009419648 is 8469149004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009419649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20352286 + ... + 20352482.

Almost surely, 2^4009419648 is an apocalyptic number.

4009419648 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 4009419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500284560).

4009419648 is an abundant number, since it is smaller than the sum of its proper divisors (8991149472).

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

4009419648 is a wasteful number, since it uses less digits than its factorization.

4009419648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4009419648 is about 63319.9782691056. The cubic root of 4009419648 is about 1588.6461383848.

The spelling of 4009419648 in words is "four billion, nine million, four hundred nineteen thousand, six hundred forty-eight".