354041318400 has 2112 divisors, whose sum is σ = 1614102405120. Its totient is φ = 66178252800.

The previous prime is 354041318383. The next prime is 354041318401. The reversal of 354041318400 is 4813140453.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (354041318401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2584243132 + ... + 2584243268.

Almost surely, 2^354041318400 is an apocalyptic number.

354041318400 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 354041318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807051202560).

354041318400 is an abundant number, since it is smaller than the sum of its proper divisors (1260061086720).

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

354041318400 is a wasteful number, since it uses less digits than its factorization.

354041318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 354041318400 its reverse (4813140453), we get a palindrome (358854458853).

The spelling of 354041318400 in words is "three hundred fifty-four billion, forty-one million, three hundred eighteen thousand, four hundred".