354413221104000 has 512 divisors, whose sum is σ = 1201961195735040. Its totient is φ = 92338687180800.

The previous prime is 354413221103999. The next prime is 354413221104001. The reversal of 354413221104000 is 401122314453.

It is an interprime number because it is at equal distance from previous prime (354413221103999) and next prime (354413221104001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354413221104001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1301575867 + ... + 1301848133.

It is an arithmetic number, because the mean of its divisors is an integer number (2347580460420).

Almost surely, 2^{354413221104000} is an apocalyptic number.

354413221104000 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 354413221104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600980597867520).

354413221104000 is an abundant number, since it is smaller than the sum of its proper divisors (847547974631040).

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

354413221104000 is a wasteful number, since it uses less digits than its factorization.

354413221104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272923 (or 272901 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 354413221104000 its reverse (401122314453), we get a palindrome (354814343418453).

The spelling of 354413221104000 in words is "three hundred fifty-four trillion, four hundred thirteen billion, two hundred twenty-one million, one hundred four thousand".