4282409088 has 160 divisors (see below), whose sum is σ = 13415754000. Its totient is φ = 1352277504.

The previous prime is 4282409071. The next prime is 4282409101. The reversal of 4282409088 is 8809042824.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186123 + ... + 207861.

Almost surely, 2^4282409088 is an apocalyptic number.

4282409088 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 4282409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707877000).

4282409088 is an abundant number, since it is smaller than the sum of its proper divisors (9133344912).

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

4282409088 is a wasteful number, since it uses less digits than its factorization.

4282409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21784 (or 21763 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4282409088 is about 65440.1183373013. The cubic root of 4282409088 is about 1623.9128460755.

The spelling of 4282409088 in words is "four billion, two hundred eighty-two million, four hundred nine thousand, eighty-eight".