10331413400 has 768 divisors, whose sum is σ = 34969190400. Its totient is φ = 2737152000.

The previous prime is 10331413399. The next prime is 10331413409. The reversal of 10331413400 is 431413301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331413409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154200167 + ... + 154200233.

It is an arithmetic number, because the mean of its divisors is an integer number (45532800).

Almost surely, 2^10331413400 is an apocalyptic number.

10331413400 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 10331413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484595200).

10331413400 is an abundant number, since it is smaller than the sum of its proper divisors (24637777000).

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

10331413400 is a wasteful number, since it uses less digits than its factorization.

10331413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10331413400 its reverse (431413301), we get a palindrome (10762826701).

Subtracting from 10331413400 its reverse (431413301), we obtain a palindrome (9900000099).

The spelling of 10331413400 in words is "ten billion, three hundred thirty-one million, four hundred thirteen thousand, four hundred".