10241402230400 has 384 divisors, whose sum is σ = 27810546350400. Its totient is φ = 3695747072000.

The previous prime is 10241402230309. The next prime is 10241402230403. The reversal of 10241402230400 is 403220414201.

It is not an unprimeable number, because it can be changed into a prime (10241402230403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3736373030 + ... + 3736375770.

Almost surely, 2^{10241402230400} is an apocalyptic number.

10241402230400 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 10241402230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13905273175200).

10241402230400 is an abundant number, since it is smaller than the sum of its proper divisors (17569144120000).

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

10241402230400 is a wasteful number, since it uses less digits than its factorization.

10241402230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10241402230400 its reverse (403220414201), we get a palindrome (10644622644601).

The spelling of 10241402230400 in words is "ten trillion, two hundred forty-one billion, four hundred two million, two hundred thirty thousand, four hundred".