350368432128000 has 4032 divisors, whose sum is σ = 1554768829845504. Its totient is φ = 74742497280000.

The previous prime is 350368432127953. The next prime is 350368432128007. The reversal of 350368432128000 is 821234863053.

350368432128000 is a `hidden beast` number, since 3 + 5 + 0 + 368 + 4 + 3 + 2 + 1 + 280 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350368432128007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5229379583967 + ... + 5229379584033.

It is an arithmetic number, because the mean of its divisors is an integer number (385607348672).

Almost surely, 2^{350368432128000} is an apocalyptic number.

350368432128000 is a gapful number since it is divisible by the number (30) 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 350368432128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777384414922752).

350368432128000 is an abundant number, since it is smaller than the sum of its proper divisors (1204400397717504).

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

350368432128000 is an equidigital number, since it uses as much as digits as its factorization.

350368432128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 350368432128000 in words is "three hundred fifty trillion, three hundred sixty-eight billion, four hundred thirty-two million, one hundred twenty-eight thousand".