10014400 has 84 divisors (see below), whose sum is σ = 26929080. Its totient is φ = 3635200.

The previous prime is 10014397. The next prime is 10014401. The reversal of 10014400 is 441001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10014401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17316 + ... + 17884.

Almost surely, 2^10014400 is an apocalyptic number.

10014400 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 10014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464540).

10014400 is an abundant number, since it is smaller than the sum of its proper divisors (16914680).

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

10014400 is a wasteful number, since it uses less digits than its factorization.

10014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10014400 is about 3164.5536810110. The cubic root of 10014400 is about 215.5468322698.

Adding to 10014400 its reverse (441001), we get a palindrome (10455401).

It can be divided in two parts, 100 and 14400, that multiplied together give a square (1440000 = 1200²).

The spelling of 10014400 in words is "ten million, fourteen thousand, four hundred".