354340454400 has 540 divisors, whose sum is σ = 1336356221200. Its totient is φ = 89499893760.

The previous prime is 354340454359. The next prime is 354340454453. The reversal of 354340454400 is 4454043453.

354340454400 is a `hidden beast` number, since 35 + 43 + 40 + 4 + 544 + 0 + 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70039071 + ... + 70044129.

Almost surely, 2^354340454400 is an apocalyptic number.

354340454400 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 354340454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668178110600).

354340454400 is an abundant number, since it is smaller than the sum of its proper divisors (982015766800).

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

354340454400 is a wasteful number, since it uses less digits than its factorization.

354340454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 354340454400 its reverse (4454043453), we get a palindrome (358794497853).

The spelling of 354340454400 in words is "three hundred fifty-four billion, three hundred forty million, four hundred fifty-four thousand, four hundred".