4295360400 has 240 divisors, whose sum is σ = 15115223040. Its totient is φ = 1037836800.

The previous prime is 4295360387. The next prime is 4295360401. The reversal of 4295360400 is 40635924.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4295360401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520305 + ... + 528495.

It is an arithmetic number, because the mean of its divisors is an integer number (62980096).

Almost surely, 2^4295360400 is an apocalyptic number.

4295360400 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 4295360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557611520).

4295360400 is an abundant number, since it is smaller than the sum of its proper divisors (10819862640).

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

4295360400 is a wasteful number, since it uses less digits than its factorization.

4295360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4295360400 is about 65538.9990768855. Note that the first 3 decimals coincide. The cubic root of 4295360400 is about 1625.5482678560.

The spelling of 4295360400 in words is "four billion, two hundred ninety-five million, three hundred sixty thousand, four hundred".