353422215311440 has 240 divisors, whose sum is σ = 911582412491520. Its totient is φ = 127329634432000.

The previous prime is 353422215311353. The next prime is 353422215311479. The reversal of 353422215311440 is 44113512224353.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 353422215311393 and 353422215311402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455375715 + ... + 456151165.

It is an arithmetic number, because the mean of its divisors is an integer number (3798260052048).

Almost surely, 2^{353422215311440} 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 353422215311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455791206245760).

353422215311440 is an abundant number, since it is smaller than the sum of its proper divisors (558160197180080).

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

353422215311440 is a wasteful number, since it uses less digits than its factorization.

353422215311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775922 (or 775905 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 353422215311440 its reverse (44113512224353), we get a palindrome (397535727535793).

The spelling of 353422215311440 in words is "three hundred fifty-three trillion, four hundred twenty-two billion, two hundred fifteen million, three hundred eleven thousand, four hundred forty".