4235064400 has 120 divisors (see below), whose sum is σ = 11942846720. Its totient is φ = 1412743680.

The previous prime is 4235064343. The next prime is 4235064409. The reversal of 4235064400 is 44605324.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4235064409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83161 + ... + 124039.

Almost surely, 2^4235064400 is an apocalyptic number.

4235064400 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 4235064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971423360).

4235064400 is an abundant number, since it is smaller than the sum of its proper divisors (7707782320).

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

4235064400 is a wasteful number, since it uses less digits than its factorization.

4235064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40941 (or 40930 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4235064400 is about 65077.3724116148. The cubic root of 4235064400 is about 1617.9062011597.

Adding to 4235064400 its reverse (44605324), we get a palindrome (4279669724).

The spelling of 4235064400 in words is "four billion, two hundred thirty-five million, sixty-four thousand, four hundred".