1214124444400 has 120 divisors (see below), whose sum is σ = 3336374029824. Its totient is φ = 415929696000.

The previous prime is 1214124444397. The next prime is 1214124444413. The reversal of 1214124444400 is 44444214121.

It is a congruent number.

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, 3247125 + ... + 3601675.

Almost surely, 2^{1214124444400} is an apocalyptic number.

1214124444400 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 1214124444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668187014912).

1214124444400 is an abundant number, since it is smaller than the sum of its proper divisors (2122249585424).

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

1214124444400 is a wasteful number, since it uses less digits than its factorization.

1214124444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355799 (or 355788 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 1214124444400 its reverse (44444214121), we get a palindrome (1258568658521).

The spelling of 1214124444400 in words is "one trillion, two hundred fourteen billion, one hundred twenty-four million, four hundred forty-four thousand, four hundred".