10414011400 has 96 divisors (see below), whose sum is σ = 26130202560. Its totient is φ = 3837047040.

The previous prime is 10414011343. The next prime is 10414011403. The reversal of 10414011400 is 411041401.

It is not an unprimeable number, because it can be changed into a prime (10414011403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303819 + ... + 1311781.

It is an arithmetic number, because the mean of its divisors is an integer number (272189610).

Almost surely, 2^10414011400 is an apocalyptic number.

10414011400 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 10414011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065101280).

10414011400 is an abundant number, since it is smaller than the sum of its proper divisors (15716191160).

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

10414011400 is a wasteful number, since it uses less digits than its factorization.

10414011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10414011400 its reverse (411041401), we get a palindrome (10825052801).

The spelling of 10414011400 in words is "ten billion, four hundred fourteen million, eleven thousand, four hundred".