10355104224000 has 432 divisors, whose sum is σ = 37279571949984. Its totient is φ = 2759961600000.

The previous prime is 10355104223983. The next prime is 10355104224041. The reversal of 10355104224000 is 42240155301.

10355104224000 is a `hidden beast` number, since 103 + 5 + 510 + 4 + 2 + 2 + 40 + 0 + 0 = 666.

It is a super-3 number, since 3×10355104224000³ (a number of 40 digits) contains 333 as substring.

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, 648280014 + ... + 648295986.

Almost surely, 2^{10355104224000} is an apocalyptic number.

10355104224000 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 10355104224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639785974992).

10355104224000 is an abundant number, since it is smaller than the sum of its proper divisors (26924467725984).

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

10355104224000 is a wasteful number, since it uses less digits than its factorization.

10355104224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18261 (or 18234 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10355104224000 its reverse (42240155301), we get a palindrome (10397344379301).

The spelling of 10355104224000 in words is "ten trillion, three hundred fifty-five billion, one hundred four million, two hundred twenty-four thousand".