353421134400 has 168 divisors, whose sum is σ = 1165345700800. Its totient is φ = 93771786240.

The previous prime is 353421134383. The next prime is 353421134489. The reversal of 353421134400 is 4431124353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770202 + ... + 1140198.

Almost surely, 2^353421134400 is an apocalyptic number.

353421134400 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 353421134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582672850400).

353421134400 is an abundant number, since it is smaller than the sum of its proper divisors (811924566400).

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

353421134400 is a wasteful number, since it uses less digits than its factorization.

353421134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370221 (or 370206 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 353421134400 its reverse (4431124353), we get a palindrome (357852258753).

The spelling of 353421134400 in words is "three hundred fifty-three billion, four hundred twenty-one million, one hundred thirty-four thousand, four hundred".