4837022853120 has 1152 divisors, whose sum is σ = 18270456422400. Its totient is φ = 1225017851904.

The previous prime is 4837022853043. The next prime is 4837022853121. The reversal of 4837022853120 is 213582207384.

4837022853120 is a `hidden beast` number, since 4 + 8 + 3 + 70 + 2 + 28 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4837022853121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12762593091 + ... + 12762593469.

It is an arithmetic number, because the mean of its divisors is an integer number (15859771200).

Almost surely, 2^{4837022853120} is an apocalyptic number.

4837022853120 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 4837022853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135228211200).

4837022853120 is an abundant number, since it is smaller than the sum of its proper divisors (13433433569280).

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

4837022853120 is a wasteful number, since it uses less digits than its factorization.

4837022853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4837022853120 in words is "four trillion, eight hundred thirty-seven billion, twenty-two million, eight hundred fifty-three thousand, one hundred twenty".