224021012400 has 360 divisors, whose sum is σ = 830562624320. Its totient is φ = 55748943360.

The previous prime is 224021012363. The next prime is 224021012407. The reversal of 224021012400 is 4210120422.

224021012400 is a `hidden beast` number, since 2 + 2 + 40 + 210 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224021012407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4558359 + ... + 4607241.

Almost surely, 2^224021012400 is an apocalyptic number.

224021012400 is a gapful number since it is divisible by the number (20) 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 224021012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415281312160).

224021012400 is an abundant number, since it is smaller than the sum of its proper divisors (606541611920).

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

224021012400 is a wasteful number, since it uses less digits than its factorization.

224021012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48993 (or 48979 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 224021012400 its reverse (4210120422), we get a palindrome (228231132822).

The spelling of 224021012400 in words is "two hundred twenty-four billion, twenty-one million, twelve thousand, four hundred".