352104601024000 has 640 divisors, whose sum is σ = 962702864323200. Its totient is φ = 127386173440000.

The previous prime is 352104601023961. The next prime is 352104601024019. The reversal of 352104601024000 is 420106401253.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 352104601024000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126247614606 + ... + 126247617394.

It is an arithmetic number, because the mean of its divisors is an integer number (1504223225505).

Almost surely, 2^{352104601024000} 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 352104601024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481351432161600).

352104601024000 is an abundant number, since it is smaller than the sum of its proper divisors (610598263299200).

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

352104601024000 is a wasteful number, since it uses less digits than its factorization.

352104601024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 352104601024000 its reverse (420106401253), we get a palindrome (352524707425253).

The spelling of 352104601024000 in words is "three hundred fifty-two trillion, one hundred four billion, six hundred one million, twenty-four thousand".