4955904000 has 480 divisors, whose sum is σ = 18551332800. Its totient is φ = 1316044800.

The previous prime is 4955903999. The next prime is 4955904011. The reversal of 4955904000 is 4095594.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20735881 + ... + 20736119.

It is an arithmetic number, because the mean of its divisors is an integer number (38648610).

Almost surely, 2^4955904000 is an apocalyptic number.

4955904000 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 4955904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275666400).

4955904000 is an abundant number, since it is smaller than the sum of its proper divisors (13595428800).

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

4955904000 is an equidigital number, since it uses as much as digits as its factorization.

4955904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4955904000 is about 70398.1817947026. The cubic root of 4955904000 is about 1704.9342228876.

Adding to 4955904000 its reverse (4095594), we get a palindrome (4959999594).

The spelling of 4955904000 in words is "four billion, nine hundred fifty-five million, nine hundred four thousand".