4289126400 has 504 divisors, whose sum is σ = 16637919480. Its totient is φ = 1049886720.

The previous prime is 4289126383. The next prime is 4289126441. The reversal of 4289126400 is 46219824.

4289126400 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 1 + 2 + 640 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 23961511 + ... + 23961689.

It is an arithmetic number, because the mean of its divisors is an integer number (33011745).

Almost surely, 2^4289126400 is an apocalyptic number.

4289126400 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 4289126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8318959740).

4289126400 is an abundant number, since it is smaller than the sum of its proper divisors (12348793080).

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

4289126400 is a wasteful number, since it uses less digits than its factorization.

4289126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4289126400 is about 65491.4223391125. The cubic root of 4289126400 is about 1624.7614829410.

The spelling of 4289126400 in words is "four billion, two hundred eighty-nine million, one hundred twenty-six thousand, four hundred".