354504100442400 has 1296 divisors, whose sum is σ = 1366141890072960. Its totient is φ = 86386980556800.

The previous prime is 354504100442311. The next prime is 354504100442431. The reversal of 354504100442400 is 4244001405453.

354504100442400 is a `hidden beast` number, since 3 + 5 + 4 + 504 + 100 + 4 + 4 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 119321472915 + ... + 119321475885.

It is an arithmetic number, because the mean of its divisors is an integer number (1054121828760).

Almost surely, 2^{354504100442400} is an apocalyptic number.

354504100442400 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 354504100442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683070945036480).

354504100442400 is an abundant number, since it is smaller than the sum of its proper divisors (1011637789630560).

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

354504100442400 is a wasteful number, since it uses less digits than its factorization.

354504100442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 354504100442400 its reverse (4244001405453), we get a palindrome (358748101847853).

The spelling of 354504100442400 in words is "three hundred fifty-four trillion, five hundred four billion, one hundred million, four hundred forty-two thousand, four hundred".