224014340400 has 120 divisors (see below), whose sum is σ = 735095023824. Its totient is φ = 58280140800.

The previous prime is 224014340399. The next prime is 224014340419. The reversal of 224014340400 is 4043410422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2227369 + ... + 2325768.

Almost surely, 2^224014340400 is an apocalyptic number.

224014340400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224014340400 is an abundant number, since it is smaller than the sum of its proper divisors (511080683424).

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

224014340400 is a wasteful number, since it uses less digits than its factorization.

224014340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553199 (or 4553188 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224014340400 its reverse (4043410422), we get a palindrome (228057750822).

The spelling of 224014340400 in words is "two hundred twenty-four billion, fourteen million, three hundred forty thousand, four hundred".