4350116588400 has 480 divisors, whose sum is σ = 16965269510400. Its totient is φ = 1049921510400.

The previous prime is 4350116588393. The next prime is 4350116588431. The reversal of 4350116588400 is 48856110534.

4350116588400 is a `hidden beast` number, since 4 + 3 + 5 + 0 + 1 + 165 + 88 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26886946 + ... + 27048254.

It is an arithmetic number, because the mean of its divisors is an integer number (35344311480).

Almost surely, 2^{4350116588400} is an apocalyptic number.

4350116588400 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 4350116588400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482634755200).

4350116588400 is an abundant number, since it is smaller than the sum of its proper divisors (12615152922000).

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

4350116588400 is a wasteful number, since it uses less digits than its factorization.

4350116588400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161574 (or 161557 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 4350116588400 in words is "four trillion, three hundred fifty billion, one hundred sixteen million, five hundred eighty-eight thousand, four hundred".