14001024400 has 120 divisors (see below), whose sum is σ = 37590906528. Its totient is φ = 4967040000.

The previous prime is 14001024397. The next prime is 14001024413. The reversal of 14001024400 is 442010041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141595 + ... + 219205.

Almost surely, 2^14001024400 is an apocalyptic number.

14001024400 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 14001024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795453264).

14001024400 is an abundant number, since it is smaller than the sum of its proper divisors (23589882128).

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

14001024400 is a wasteful number, since it uses less digits than its factorization.

14001024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77681 (or 77670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14001024400 its reverse (442010041), we get a palindrome (14443034441).

The spelling of 14001024400 in words is "fourteen billion, one million, twenty-four thousand, four hundred".