4288401600 has 252 divisors, whose sum is σ = 16367494824. Its totient is φ = 980152320.

The previous prime is 4288401583. The next prime is 4288401613. The reversal of 4288401600 is 61048824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226084 + ... + 244316.

Almost surely, 2^4288401600 is an apocalyptic number.

4288401600 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 4288401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8183747412).

4288401600 is an abundant number, since it is smaller than the sum of its proper divisors (12079093224).

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

4288401600 is a wasteful number, since it uses less digits than its factorization.

4288401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18272 (or 18250 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4288401600 is about 65485.8885562378. Note that the first 3 decimals coincide. The cubic root of 4288401600 is about 1624.6699574295.

The spelling of 4288401600 in words is "four billion, two hundred eighty-eight million, four hundred one thousand, six hundred".