354231525040 has 80 divisors (see below), whose sum is σ = 839797642368. Its totient is φ = 138908177408.

The previous prime is 354231525001. The next prime is 354231525071. The reversal of 354231525040 is 40525132453.

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

It is a super-3 number, since 3×354231525040³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354231524987 and 354231525005.

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, 5381769 + ... + 5447191.

Almost surely, 2^354231525040 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 354231525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419898821184).

354231525040 is an abundant number, since it is smaller than the sum of its proper divisors (485566117328).

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

354231525040 is a wasteful number, since it uses less digits than its factorization.

354231525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66766 (or 66760 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 354231525040 its reverse (40525132453), we get a palindrome (394756657493).

The spelling of 354231525040 in words is "three hundred fifty-four billion, two hundred thirty-one million, five hundred twenty-five thousand, forty".