1233295084400 has 240 divisors, whose sum is σ = 3234938188800. Its totient is φ = 450116352000.

The previous prime is 1233295084397. The next prime is 1233295084447. The reversal of 1233295084400 is 44805923321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49699196 + ... + 49724004.

It is an arithmetic number, because the mean of its divisors is an integer number (13478909120).

Almost surely, 2^{1233295084400} is an apocalyptic number.

1233295084400 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 1233295084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617469094400).

1233295084400 is an abundant number, since it is smaller than the sum of its proper divisors (2001643104400).

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

1233295084400 is a wasteful number, since it uses less digits than its factorization.

1233295084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25088 (or 25077 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 1233295084400 in words is "one trillion, two hundred thirty-three billion, two hundred ninety-five million, eighty-four thousand, four hundred".