1204423334400 has 960 divisors, whose sum is σ = 4711380702336. Its totient is φ = 267386880000.

The previous prime is 1204423334399. The next prime is 1204423334431. The reversal of 1204423334400 is 44333244021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 752293600 + ... + 752295200.

Almost surely, 2^{1204423334400} is an apocalyptic number.

1204423334400 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 1204423334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355690351168).

1204423334400 is an abundant number, since it is smaller than the sum of its proper divisors (3506957367936).

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

1204423334400 is a wasteful number, since it uses less digits than its factorization.

1204423334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1204423334400 its reverse (44333244021), we get a palindrome (1248756578421).

The spelling of 1204423334400 in words is "one trillion, two hundred four billion, four hundred twenty-three million, three hundred thirty-four thousand, four hundred".