224272410412400 has 360 divisors, whose sum is σ = 627823956204000. Its totient is φ = 76765946019840.

The previous prime is 224272410412343. The next prime is 224272410412459. The reversal of 224272410412400 is 4214014272422.

It is a super-2 number, since 2×224272410412400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57081293636 + ... + 57081297564.

It is an arithmetic number, because the mean of its divisors is an integer number (1743955433900).

Almost surely, 2^{224272410412400} is an apocalyptic number.

224272410412400 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 224272410412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313911978102000).

224272410412400 is an abundant number, since it is smaller than the sum of its proper divisors (403551545791600).

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

224272410412400 is a wasteful number, since it uses less digits than its factorization.

224272410412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

Adding to 224272410412400 its reverse (4214014272422), we get a palindrome (228486424684822).

The spelling of 224272410412400 in words is "two hundred twenty-four trillion, two hundred seventy-two billion, four hundred ten million, four hundred twelve thousand, four hundred".