4053350400 has 288 divisors, whose sum is σ = 14624064000. Its totient is φ = 982220800.

The previous prime is 4053350339. The next prime is 4053350417. The reversal of 4053350400 is 40533504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1688401 + ... + 1690799.

It is an arithmetic number, because the mean of its divisors is an integer number (50778000).

Almost surely, 2^4053350400 is an apocalyptic number.

4053350400 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 4053350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032000).

4053350400 is an abundant number, since it is smaller than the sum of its proper divisors (10570713600).

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

4053350400 is a wasteful number, since it uses less digits than its factorization.

4053350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 4053350400 is about 63665.9280934473. The cubic root of 4053350400 is about 1594.4272796935.

Adding to 4053350400 its reverse (40533504), we get a palindrome (4093883904).

4053350400 divided by its reverse (40533504) gives a square (100 = 10²).

It can be divided in two parts, 4053 and 350400, that added together give a palindrome (354453).

The spelling of 4053350400 in words is "four billion, fifty-three million, three hundred fifty thousand, four hundred".