1135342322400 has 864 divisors, whose sum is σ = 4393107823104. Its totient is φ = 252983808000.

The previous prime is 1135342322351. The next prime is 1135342322419. The reversal of 1135342322400 is 42232435311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1174086717 + ... + 1174087683.

It is an arithmetic number, because the mean of its divisors is an integer number (5084615536).

Almost surely, 2^{1135342322400} is an apocalyptic number.

1135342322400 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 1135342322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196553911552).

1135342322400 is an abundant number, since it is smaller than the sum of its proper divisors (3257765500704).

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

1135342322400 is a wasteful number, since it uses less digits than its factorization.

1135342322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1135342322400 its reverse (42232435311), we get a palindrome (1177574757711).

The spelling of 1135342322400 in words is "one trillion, one hundred thirty-five billion, three hundred forty-two million, three hundred twenty-two thousand, four hundred".