4116332255200 has 288 divisors, whose sum is σ = 11046234995712. Its totient is φ = 1485459456000.

The previous prime is 4116332255183. The next prime is 4116332255221. The reversal of 4116332255200 is 25522336114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752388465 + ... + 752393935.

It is an arithmetic number, because the mean of its divisors is an integer number (38354982624).

Almost surely, 2^{4116332255200} is an apocalyptic number.

4116332255200 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 4116332255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523117497856).

4116332255200 is an abundant number, since it is smaller than the sum of its proper divisors (6929902740512).

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

4116332255200 is a wasteful number, since it uses less digits than its factorization.

4116332255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 4116332255200 in words is "four trillion, one hundred sixteen billion, three hundred thirty-two million, two hundred fifty-five thousand, two hundred".