352122411400 has 96 divisors (see below), whose sum is σ = 837245341440. Its totient is φ = 137663912960.

The previous prime is 352122411379. The next prime is 352122411419. The reversal of 352122411400 is 4114221253.

It is a super-2 number, since 2×352122411400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6958992 + ... + 7009408.

It is an arithmetic number, because the mean of its divisors is an integer number (8721305640).

Almost surely, 2^352122411400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352122411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418622670720).

352122411400 is an abundant number, since it is smaller than the sum of its proper divisors (485122930040).

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

352122411400 is a wasteful number, since it uses less digits than its factorization.

352122411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51223 (or 51214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 352122411400 its reverse (4114221253), we get a palindrome (356236632653).

The spelling of 352122411400 in words is "three hundred fifty-two billion, one hundred twenty-two million, four hundred eleven thousand, four hundred".