354225112521040 has 80 divisors (see below), whose sum is σ = 830160107352576. Its totient is φ = 140561333683200.

The previous prime is 354225112521019. The next prime is 354225112521113. The reversal of 354225112521040 is 40125211522453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×354225112521040³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30010356 + ... + 40113235.

Almost surely, 2^{354225112521040} is an apocalyptic number.

It is an amenable number.

354225112521040 is an abundant number, since it is smaller than the sum of its proper divisors (475934994831536).

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

354225112521040 is a wasteful number, since it uses less digits than its factorization.

354225112521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70124108 (or 70124102 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 354225112521040 in words is "three hundred fifty-four trillion, two hundred twenty-five billion, one hundred twelve million, five hundred twenty-one thousand, forty".