1233034004400 has 120 divisors (see below), whose sum is σ = 4308893421504. Its totient is φ = 298917331200.

The previous prime is 1233034004381. The next prime is 1233034004407. The reversal of 1233034004400 is 44004303321.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (1233034004407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46692634 + ... + 46719033.

Almost surely, 2^{1233034004400} is an apocalyptic number.

1233034004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233034004400 is an abundant number, since it is smaller than the sum of its proper divisors (3075859417104).

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

1233034004400 is a wasteful number, since it uses less digits than its factorization.

1233034004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93411699 (or 93411688 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1233034004400 its reverse (44004303321), we get a palindrome (1277038307721).

The spelling of 1233034004400 in words is "one trillion, two hundred thirty-three billion, thirty-four million, four thousand, four hundred".