1214451332400 has 120 divisors (see below), whose sum is σ = 3896345131840. Its totient is φ = 323349822720.

The previous prime is 1214451332383. The next prime is 1214451332429. The reversal of 1214451332400 is 42331544121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15370 + ... + 1558569.

Almost surely, 2^{1214451332400} is an apocalyptic number.

1214451332400 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 1214451332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948172565920).

1214451332400 is an abundant number, since it is smaller than the sum of its proper divisors (2681893799440).

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

1214451332400 is a wasteful number, since it uses less digits than its factorization.

1214451332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574603 (or 1574592 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1214451332400 its reverse (42331544121), we get a palindrome (1256782876521).

The spelling of 1214451332400 in words is "one trillion, two hundred fourteen billion, four hundred fifty-one million, three hundred thirty-two thousand, four hundred".