10233441420000 has 480 divisors, whose sum is σ = 35384467345920. Its totient is φ = 2581632000000.

The previous prime is 10233441419989. The next prime is 10233441420029. The reversal of 10233441420000 is 2414433201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×10233441420000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 856134024 + ... + 856145976.

It is an arithmetic number, because the mean of its divisors is an integer number (73717640304).

Almost surely, 2^{10233441420000} is an apocalyptic number.

10233441420000 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 10233441420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692233672960).

10233441420000 is an abundant number, since it is smaller than the sum of its proper divisors (25151025925920).

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

10233441420000 is a wasteful number, since it uses less digits than its factorization.

10233441420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10233441420000 its reverse (2414433201), we get a palindrome (10235855853201).

The spelling of 10233441420000 in words is "ten trillion, two hundred thirty-three billion, four hundred forty-one million, four hundred twenty thousand".