4221896448 has 576 divisors, whose sum is σ = 15070003200. Its totient is φ = 1038643200.

The previous prime is 4221896447. The next prime is 4221896461. The reversal of 4221896448 is 8446981224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4221896397 and 4221896406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221896447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89827561 + ... + 89827607.

It is an arithmetic number, because the mean of its divisors is an integer number (26163200).

Almost surely, 2^4221896448 is an apocalyptic number.

4221896448 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 4221896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535001600).

4221896448 is an abundant number, since it is smaller than the sum of its proper divisors (10848106752).

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

4221896448 is a wasteful number, since it uses less digits than its factorization.

4221896448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 4221896448 is about 64976.1221372898. The cubic root of 4221896448 is about 1616.2276253550.

The spelling of 4221896448 in words is "four billion, two hundred twenty-one million, eight hundred ninety-six thousand, four hundred forty-eight".