1135340400000 has 384 divisors, whose sum is σ = 3815193312000. Its totient is φ = 299083520000.

The previous prime is 1135340399969. The next prime is 1135340400013. The reversal of 1135340400000 is 40435311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1135340400000.

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, 99594301 + ... + 99605699.

It is an arithmetic number, because the mean of its divisors is an integer number (9935399250).

Almost surely, 2^{1135340400000} is an apocalyptic number.

1135340400000 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 1135340400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907596656000).

1135340400000 is an abundant number, since it is smaller than the sum of its proper divisors (2679852912000).

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

1135340400000 is an frugal number, since it uses more digits than its factorization.

1135340400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11492 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1135340400000 its reverse (40435311), we get a palindrome (1135380835311).

The spelling of 1135340400000 in words is "one trillion, one hundred thirty-five billion, three hundred forty million, four hundred thousand".