4238162880 has 448 divisors, whose sum is σ = 16025164800. Its totient is φ = 948326400.

The previous prime is 4238162843. The next prime is 4238162881. The reversal of 4238162880 is 882618324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238162881) 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, 20085975 + ... + 20086185.

Almost surely, 2^4238162880 is an apocalyptic number.

4238162880 is a gapful number since it is divisible by the number (40) 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 4238162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012582400).

4238162880 is an abundant number, since it is smaller than the sum of its proper divisors (11787001920).

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

4238162880 is a wasteful number, since it uses less digits than its factorization.

4238162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4238162880 is about 65101.1741829593. The cubic root of 4238162880 is about 1618.3006719769.

The spelling of 4238162880 in words is "four billion, two hundred thirty-eight million, one hundred sixty-two thousand, eight hundred eighty".