353123230440 has 128 divisors (see below), whose sum is σ = 1070454528000. Its totient is φ = 93185644800.

The previous prime is 353123230429. The next prime is 353123230487. The reversal of 353123230440 is 44032321353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 353123230398 and 353123230407.

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 31 ways as a sum of consecutive naturals, for example, 4728511 + ... + 4802609.

It is an arithmetic number, because the mean of its divisors is an integer number (8362926000).

Almost surely, 2^353123230440 is an apocalyptic number.

353123230440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353123230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535227264000).

353123230440 is an abundant number, since it is smaller than the sum of its proper divisors (717331297560).

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

353123230440 is a wasteful number, since it uses less digits than its factorization.

353123230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74527 (or 74523 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 353123230440 its reverse (44032321353), we get a palindrome (397155551793).

The spelling of 353123230440 in words is "three hundred fifty-three billion, one hundred twenty-three million, two hundred thirty thousand, four hundred forty".