4955005440 has 1280 divisors, whose sum is σ = 23569920000. Its totient is φ = 975421440.

The previous prime is 4955005423. The next prime is 4955005493. The reversal of 4955005440 is 445005594.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4955005395 and 4955005404.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 260789751 + ... + 260789769.

It is an arithmetic number, because the mean of its divisors is an integer number (18414000).

Almost surely, 2^4955005440 is an apocalyptic number.

4955005440 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 4955005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960000).

4955005440 is an abundant number, since it is smaller than the sum of its proper divisors (18614914560).

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

4955005440 is a wasteful number, since it uses less digits than its factorization.

4955005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4955005440 is about 70391.7995223875. The cubic root of 4955005440 is about 1704.8311755396.

The spelling of 4955005440 in words is "four billion, nine hundred fifty-five million, five thousand, four hundred forty".