352404211054400 has 84 divisors (see below), whose sum is σ = 867139446190080. Its totient is φ = 140960898547200.

The previous prime is 352404211054333. The next prime is 352404211054417. The reversal of 352404211054400 is 4450112404253.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348472691 + ... + 349482509.

It is an arithmetic number, because the mean of its divisors is an integer number (10323088645120).

Almost surely, 2^{352404211054400} is an apocalyptic number.

It is an amenable number.

352404211054400 is an abundant number, since it is smaller than the sum of its proper divisors (514735235135680).

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

352404211054400 is a wasteful number, since it uses less digits than its factorization.

352404211054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227952 (or 1227937 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 352404211054400 its reverse (4450112404253), we get a palindrome (356854323458653).

The spelling of 352404211054400 in words is "three hundred fifty-two trillion, four hundred four billion, two hundred eleven million, fifty-four thousand, four hundred".