354240541344 has 48 divisors (see below), whose sum is σ = 932090271840. Its totient is φ = 117799691520.

The previous prime is 354240541339. The next prime is 354240541423. The reversal of 354240541344 is 443145042453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×354240541344³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4342014 + ... + 4422845.

It is an arithmetic number, because the mean of its divisors is an integer number (19418547330).

Almost surely, 2^354240541344 is an apocalyptic number.

It is an amenable number.

354240541344 is an abundant number, since it is smaller than the sum of its proper divisors (577849730496).

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

354240541344 is a wasteful number, since it uses less digits than its factorization.

354240541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765293 (or 8765285 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 354240541344 its reverse (443145042453), we get a palindrome (797385583797).

The spelling of 354240541344 in words is "three hundred fifty-four billion, two hundred forty million, five hundred forty-one thousand, three hundred forty-four".