10330501050400 has 216 divisors, whose sum is σ = 26733951886320. Its totient is φ = 3897446008320.

The previous prime is 10330501050371. The next prime is 10330501050461. The reversal of 10330501050400 is 405010503301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65478811 + ... + 65636389.

It is an arithmetic number, because the mean of its divisors is an integer number (123768295770).

Almost surely, 2^{10330501050400} is an apocalyptic number.

10330501050400 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 10330501050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366975943160).

10330501050400 is an abundant number, since it is smaller than the sum of its proper divisors (16403450835920).

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

10330501050400 is a wasteful number, since it uses less digits than its factorization.

10330501050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157864 (or 157832 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 10330501050400 its reverse (405010503301), we get a palindrome (10735511553701).

The spelling of 10330501050400 in words is "ten trillion, three hundred thirty billion, five hundred one million, fifty thousand, four hundred".