1102321434400 has 288 divisors, whose sum is σ = 2913511023360. Its totient is φ = 405835038720.

The previous prime is 1102321434397. The next prime is 1102321434413. The reversal of 1102321434400 is 44341232011.

It is a super-3 number, since 3×1102321434400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 620326312 + ... + 620328088.

It is an arithmetic number, because the mean of its divisors is an integer number (10116357720).

Almost surely, 2^{1102321434400} is an apocalyptic number.

1102321434400 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 1102321434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456755511680).

1102321434400 is an abundant number, since it is smaller than the sum of its proper divisors (1811189588960).

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

1102321434400 is a wasteful number, since it uses less digits than its factorization.

1102321434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1102321434400 its reverse (44341232011), we get a palindrome (1146662666411).

The spelling of 1102321434400 in words is "one trillion, one hundred two billion, three hundred twenty-one million, four hundred thirty-four thousand, four hundred".