4955441400 has 288 divisors, whose sum is σ = 20483168160. Its totient is φ = 1045509120.

The previous prime is 4955441327. The next prime is 4955441411. The reversal of 4955441400 is 41445594.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148674 + ... + 178926.

Almost surely, 2^4955441400 is an apocalyptic number.

4955441400 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 4955441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241584080).

4955441400 is an abundant number, since it is smaller than the sum of its proper divisors (15527726760).

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

4955441400 is a wasteful number, since it uses less digits than its factorization.

4955441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30295 (or 30283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4955441400 is about 70394.8961218070. The cubic root of 4955441400 is about 1704.8811732245.

Adding to 4955441400 its reverse (41445594), we get a palindrome (4996886994).

The spelling of 4955441400 in words is "four billion, nine hundred fifty-five million, four hundred forty-one thousand, four hundred".