1223444400400 has 240 divisors, whose sum is σ = 3169662271488. Its totient is φ = 452485440000.

The previous prime is 1223444400397. The next prime is 1223444400511. The reversal of 1223444400400 is 40044443221.

It is a super-3 number, since 3×1223444400400³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328263337 + ... + 328267063.

Almost surely, 2^{1223444400400} is an apocalyptic number.

1223444400400 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 1223444400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584831135744).

1223444400400 is an abundant number, since it is smaller than the sum of its proper divisors (1946217871088).

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

1223444400400 is a wasteful number, since it uses less digits than its factorization.

1223444400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 1223444400400 its reverse (40044443221), we get a palindrome (1263488843621).

The spelling of 1223444400400 in words is "one trillion, two hundred twenty-three billion, four hundred forty-four million, four hundred thousand, four hundred".