10350200310400 has 192 divisors, whose sum is σ = 26170319054880. Its totient is φ = 4042643189760.

The previous prime is 10350200310379. The next prime is 10350200310493. The reversal of 10350200310400 is 401300205301.

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, 605018647 + ... + 605035753.

Almost surely, 2^{10350200310400} is an apocalyptic number.

10350200310400 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 10350200310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085159527440).

10350200310400 is an abundant number, since it is smaller than the sum of its proper divisors (15820118744480).

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

10350200310400 is a wasteful number, since it uses less digits than its factorization.

10350200310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21571 (or 21554 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10350200310400 its reverse (401300205301), we get a palindrome (10751500515701).

The spelling of 10350200310400 in words is "ten trillion, three hundred fifty billion, two hundred million, three hundred ten thousand, four hundred".