10411414400 has 96 divisors (see below), whose sum is σ = 25750505880. Its totient is φ = 4159539200.

The previous prime is 10411414373. The next prime is 10411414471. The reversal of 10411414400 is 441411401.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3797030 + ... + 3799770.

Almost surely, 2^10411414400 is an apocalyptic number.

10411414400 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 10411414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875252940).

10411414400 is an abundant number, since it is smaller than the sum of its proper divisors (15339091480).

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

10411414400 is a wasteful number, since it uses less digits than its factorization.

10411414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10411414400 its reverse (441411401), we get a palindrome (10852825801).

The spelling of 10411414400 in words is "ten billion, four hundred eleven million, four hundred fourteen thousand, four hundred".