354142400000 has 240 divisors, whose sum is σ = 889473538800. Its totient is φ = 140851200000.

The previous prime is 354142399999. The next prime is 354142400009. The reversal of 354142400000 is 4241453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354142400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337599476 + ... + 337600524.

It is an arithmetic number, because the mean of its divisors is an integer number (3706139745).

Almost surely, 2^354142400000 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 354142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444736769400).

354142400000 is an abundant number, since it is smaller than the sum of its proper divisors (535331138800).

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

354142400000 is an frugal number, since it uses more digits than its factorization.

354142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 354142400000 its reverse (4241453), we get a palindrome (354146641453).

The spelling of 354142400000 in words is "three hundred fifty-four billion, one hundred forty-two million, four hundred thousand".