10411023400 has 144 divisors (see below), whose sum is σ = 26177191740. Its totient is φ = 3847910400.

The previous prime is 10411023383. The next prime is 10411023409. The reversal of 10411023400 is 432011401.

It can be written as a sum of positive squares in 6 ways, for example, as 3841272484 + 6569750916 = 61978^2 + 81054^2 .

It is a super-3 number, since 3×10411023400³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411023409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2958442 + ... + 2961958.

Almost surely, 2^10411023400 is an apocalyptic number.

10411023400 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 10411023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088595870).

10411023400 is an abundant number, since it is smaller than the sum of its proper divisors (15766168340).

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

10411023400 is a wasteful number, since it uses less digits than its factorization.

10411023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10411023400 its reverse (432011401), we get a palindrome (10843034801).

The spelling of 10411023400 in words is "ten billion, four hundred eleven million, twenty-three thousand, four hundred".