350444040054400 has 192 divisors, whose sum is σ = 879686905731480. Its totient is φ = 137930542940160.

The previous prime is 350444040054397. The next prime is 350444040054469. The reversal of 350444040054400 is 4450040444053.

It can be written as a sum of positive squares in 12 ways, for example, as 27355494141504 + 323088545912896 = 5230248^2 + 17974664^2 .

It is a super-2 number, since 2×350444040054400² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 350444040054400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50436172 + ... + 56962228.

Almost surely, 2^{350444040054400} 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 350444040054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439843452865740).

350444040054400 is an abundant number, since it is smaller than the sum of its proper divisors (529242865677080).

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

350444040054400 is a wasteful number, since it uses less digits than its factorization.

350444040054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526351 (or 6526334 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

Adding to 350444040054400 its reverse (4450040444053), we get a palindrome (354894080498453).

The spelling of 350444040054400 in words is "three hundred fifty trillion, four hundred forty-four billion, forty million, fifty-four thousand, four hundred".