354212716400 has 180 divisors, whose sum is σ = 898027123032. Its totient is φ = 134211517440.

The previous prime is 354212716391. The next prime is 354212716411. The reversal of 354212716400 is 4617212453.

It is a super-3 number, since 3×354212716400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17819267 + ... + 17839133.

Almost surely, 2^354212716400 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 354212716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449013561516).

354212716400 is an abundant number, since it is smaller than the sum of its proper divisors (543814406632).

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

354212716400 is a wasteful number, since it uses less digits than its factorization.

354212716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996 (or 19956 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 354212716400 its reverse (4617212453), we get a palindrome (358829928853).

The spelling of 354212716400 in words is "three hundred fifty-four billion, two hundred twelve million, seven hundred sixteen thousand, four hundred".