354245011424140 has 48 divisors (see below), whose sum is σ = 758320112148480. Its totient is φ = 138977839915200.

The previous prime is 354245011424111. The next prime is 354245011424159. The reversal of 354245011424140 is 41424110542453.

It is a super-3 number, since 3×354245011424140³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 354245011424093 and 354245011424102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 742164412 + ... + 742641571.

It is an arithmetic number, because the mean of its divisors is an integer number (15798335669760).

Almost surely, 2^{354245011424140} is an apocalyptic number.

It is an amenable number.

354245011424140 is an abundant number, since it is smaller than the sum of its proper divisors (404075100724340).

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

354245011424140 is a wasteful number, since it uses less digits than its factorization.

354245011424140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484806222 (or 1484806220 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 354245011424140 its reverse (41424110542453), we get a palindrome (395669121966593).

The spelling of 354245011424140 in words is "three hundred fifty-four trillion, two hundred forty-five billion, eleven million, four hundred twenty-four thousand, one hundred forty".