1233334320400 has 120 divisors (see below), whose sum is σ = 3646874821184. Its totient is φ = 390329971200.

The previous prime is 1233334320359. The next prime is 1233334320419. The reversal of 1233334320400 is 40234333321.

It is a happy number.

It is a super-2 number, since 2×1233334320400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 16905006 + ... + 16977805.

Almost surely, 2^{1233334320400} is an apocalyptic number.

1233334320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233334320400 is an abundant number, since it is smaller than the sum of its proper divisors (2413540500784).

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

1233334320400 is a wasteful number, since it uses less digits than its factorization.

1233334320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33882849 (or 33882838 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 1233334320400 its reverse (40234333321), we get a palindrome (1273568653721).

The spelling of 1233334320400 in words is "one trillion, two hundred thirty-three billion, three hundred thirty-four million, three hundred twenty thousand, four hundred".