1204213401600 has 1152 divisors, whose sum is σ = 4553348567040. Its totient is φ = 278102016000.

The previous prime is 1204213401577. The next prime is 1204213401641. The reversal of 1204213401600 is 61043124021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4347340662 + ... + 4347340938.

It is an arithmetic number, because the mean of its divisors is an integer number (3952559520).

Almost surely, 2^{1204213401600} is an apocalyptic number.

1204213401600 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 1204213401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276674283520).

1204213401600 is an abundant number, since it is smaller than the sum of its proper divisors (3349135165440).

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

1204213401600 is a wasteful number, since it uses less digits than its factorization.

1204213401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1204213401600 its reverse (61043124021), we get a palindrome (1265256525621).

The spelling of 1204213401600 in words is "one trillion, two hundred four billion, two hundred thirteen million, four hundred one thousand, six hundred".