4220431488 has 384 divisors, whose sum is σ = 15112581120. Its totient is φ = 1100832768.

The previous prime is 4220431477. The next prime is 4220431493. The reversal of 4220431488 is 8841340224.

4220431488 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 (384).

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

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, 13313506 + ... + 13313822.

It is an arithmetic number, because the mean of its divisors is an integer number (39355680).

Almost surely, 2^4220431488 is an apocalyptic number.

4220431488 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 4220431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7556290560).

4220431488 is an abundant number, since it is smaller than the sum of its proper divisors (10892149632).

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

4220431488 is a wasteful number, since it uses less digits than its factorization.

4220431488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4220431488 is about 64964.8480949505. The cubic root of 4220431488 is about 1616.0406649245.

The spelling of 4220431488 in words is "four billion, two hundred twenty million, four hundred thirty-one thousand, four hundred eighty-eight".