354544333543400 has 384 divisors, whose sum is σ = 1106840095200000. Its totient is φ = 102000610713600.

The previous prime is 354544333543369. The next prime is 354544333543403. The reversal of 354544333543400 is 4345333445453.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (354544333543403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4110663476 + ... + 4110749724.

It is an arithmetic number, because the mean of its divisors is an integer number (2882396081250).

Almost surely, 2^{354544333543400} 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 354544333543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553420047600000).

354544333543400 is an abundant number, since it is smaller than the sum of its proper divisors (752295761656600).

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

354544333543400 is a wasteful number, since it uses less digits than its factorization.

354544333543400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106829 (or 106820 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 50.

Adding to 354544333543400 its reverse (4345333445453), we get a palindrome (358889666988853).

The spelling of 354544333543400 in words is "three hundred fifty-four trillion, five hundred forty-four billion, three hundred thirty-three million, five hundred forty-three thousand, four hundred".