4953414400 has 216 divisors, whose sum is σ = 13577131008. Its totient is φ = 1774080000.

The previous prime is 4953414379. The next prime is 4953414409. The reversal of 4953414400 is 44143594.

It is not an unprimeable number, because it can be changed into a prime (4953414409) 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, 4997905 + ... + 4998895.

It is an arithmetic number, because the mean of its divisors is an integer number (62857088).

Almost surely, 2^4953414400 is an apocalyptic number.

4953414400 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 4953414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788565504).

4953414400 is an abundant number, since it is smaller than the sum of its proper divisors (8623716608).

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

4953414400 is a wasteful number, since it uses less digits than its factorization.

4953414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 4953414400 is about 70380.4972986125. The cubic root of 4953414400 is about 1704.6486836467.

Adding to 4953414400 its reverse (44143594), we get a palindrome (4997557994).

The spelling of 4953414400 in words is "four billion, nine hundred fifty-three million, four hundred fourteen thousand, four hundred".