1214055054400 has 168 divisors, whose sum is σ = 3166611493536. Its totient is φ = 456542822400.

The previous prime is 1214055054391. The next prime is 1214055054409. The reversal of 1214055054400 is 44505504121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1214055054391) and next prime (1214055054409).

It is a super-2 number, since 2×1214055054400² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1214055054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24645795 + ... + 24695005.

Almost surely, 2^{1214055054400} is an apocalyptic number.

1214055054400 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 1214055054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583305746768).

1214055054400 is an abundant number, since it is smaller than the sum of its proper divisors (1952556439136).

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

1214055054400 is a wasteful number, since it uses less digits than its factorization.

1214055054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50157 (or 50142 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 1214055054400 in words is "one trillion, two hundred fourteen billion, fifty-five million, fifty-four thousand, four hundred".