10300411400 has 48 divisors (see below), whose sum is σ = 24774279300. Its totient is φ = 3978087680.

The previous prime is 10300411397. The next prime is 10300411409. The reversal of 10300411400 is 411400301.

It is a happy number.

10300411400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6320568004 + 3979843396 = 79502^2 + 63086^2 .

It is not an unprimeable number, because it can be changed into a prime (10300411409) by changing a digit.

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, 882167 + ... + 893766.

Almost surely, 2^10300411400 is an apocalyptic number.

10300411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300411400 is an abundant number, since it is smaller than the sum of its proper divisors (14473867900).

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

10300411400 is a wasteful number, since it uses less digits than its factorization.

10300411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775978 (or 1775969 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10300411400 its reverse (411400301), we get a palindrome (10711811701).

The spelling of 10300411400 in words is "ten billion, three hundred million, four hundred eleven thousand, four hundred".