10210234430400 has 168 divisors, whose sum is σ = 33564681972864. Its totient is φ = 2717315558400.

The previous prime is 10210234430353. The next prime is 10210234430413. The reversal of 10210234430400 is 403443201201.

It is a super-2 number, since 2×10210234430400² (a number of 27 digits) contains 22 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 23 ways as a sum of consecutive naturals, for example, 299955 + ... + 4528845.

It is an arithmetic number, because the mean of its divisors is an integer number (199789773648).

Almost surely, 2^{10210234430400} is an apocalyptic number.

10210234430400 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 10210234430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782340986432).

10210234430400 is an abundant number, since it is smaller than the sum of its proper divisors (23354447542464).

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

10210234430400 is a wasteful number, since it uses less digits than its factorization.

10210234430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229419 (or 4229404 counting only the distinct ones).

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

Adding to 10210234430400 its reverse (403443201201), we get a palindrome (10613677631601).

The spelling of 10210234430400 in words is "ten trillion, two hundred ten billion, two hundred thirty-four million, four hundred thirty thousand, four hundred".