1214413251400 has 96 divisors (see below), whose sum is σ = 2900015949600. Its totient is φ = 472665715200.

The previous prime is 1214413251397. The next prime is 1214413251409. The reversal of 1214413251400 is 41523144121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1214413251409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2912419 + ... + 3303181.

It is an arithmetic number, because the mean of its divisors is an integer number (30208499475).

Almost surely, 2^{1214413251400} is an apocalyptic number.

1214413251400 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 1214413251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450007974800).

1214413251400 is an abundant number, since it is smaller than the sum of its proper divisors (1685602698200).

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

1214413251400 is a wasteful number, since it uses less digits than its factorization.

1214413251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391199 (or 391190 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1214413251400 its reverse (41523144121), we get a palindrome (1255936395521).

The spelling of 1214413251400 in words is "one trillion, two hundred fourteen billion, four hundred thirteen million, two hundred fifty-one thousand, four hundred".