10261241400 has 48 divisors (see below), whose sum is σ = 31809850200. Its totient is φ = 2736330880.

The previous prime is 10261241377. The next prime is 10261241483. The reversal of 10261241400 is 414216201.

It is a happy number.

10261241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8550435 + ... + 8551634.

Almost surely, 2^10261241400 is an apocalyptic number.

10261241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10261241400 is an abundant number, since it is smaller than the sum of its proper divisors (21548608800).

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

10261241400 is a wasteful number, since it uses less digits than its factorization.

10261241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17102088 (or 17102079 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10261241400 its reverse (414216201), we get a palindrome (10675457601).

The spelling of 10261241400 in words is "ten billion, two hundred sixty-one million, two hundred forty-one thousand, four hundred".