104143211002400 has 144 divisors (see below), whose sum is σ = 257761334984328. Its totient is φ = 41080421376000.

The previous prime is 104143211002399. The next prime is 104143211002469. The reversal of 104143211002400 is 4200112341401.

It can be written as a sum of positive squares in 12 ways, for example, as 14337945756304 + 89805265246096 = 3786548^2 + 9476564^2 .

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, 395878910 + ... + 396141890.

Almost surely, 2^{104143211002400} is an apocalyptic number.

104143211002400 is a gapful number since it is divisible by the number (10) 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 104143211002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128880667492164).

104143211002400 is an abundant number, since it is smaller than the sum of its proper divisors (153618123981928).

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

104143211002400 is a wasteful number, since it uses less digits than its factorization.

104143211002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269855 (or 269842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 104143211002400 its reverse (4200112341401), we get a palindrome (108343323343801).

The spelling of 104143211002400 in words is "one hundred four trillion, one hundred forty-three billion, two hundred eleven million, two thousand, four hundred".