353020224241200 has 240 divisors, whose sum is σ = 1198447163329536. Its totient is φ = 88520821248000.

The previous prime is 353020224241189. The next prime is 353020224241241. The reversal of 353020224241200 is 2142422020353.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 14656725 + ... + 30345675.

Almost surely, 2^{353020224241200} is an apocalyptic number.

353020224241200 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 353020224241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599223581664768).

353020224241200 is an abundant number, since it is smaller than the sum of its proper divisors (845426939088336).

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

353020224241200 is a wasteful number, since it uses less digits than its factorization.

353020224241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690092 (or 15690081 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 353020224241200 its reverse (2142422020353), we get a palindrome (355162646261553).

The spelling of 353020224241200 in words is "three hundred fifty-three trillion, twenty billion, two hundred twenty-four million, two hundred forty-one thousand, two hundred".