4855334400000 has 1872 divisors, whose sum is σ = 20869332277248. Its totient is φ = 1104814080000.

The previous prime is 4855334399947. The next prime is 4855334400041. The reversal of 4855334400000 is 44335584.

4855334400000 is a `hidden beast` number, since 4 + 85 + 533 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 21772799889 + ... + 21772800111.

It is an arithmetic number, because the mean of its divisors is an integer number (11148147584).

Almost surely, 2^{4855334400000} is an apocalyptic number.

4855334400000 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 4855334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10434666138624).

4855334400000 is an abundant number, since it is smaller than the sum of its proper divisors (16013997877248).

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

4855334400000 is an frugal number, since it uses more digits than its factorization.

4855334400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 4855334400000 its reverse (44335584), we get a palindrome (4855378735584).

The spelling of 4855334400000 in words is "four trillion, eight hundred fifty-five billion, three hundred thirty-four million, four hundred thousand".