11282040000 has 1260 divisors, whose sum is σ = 52134274192. Its totient is φ = 2280960000.

The previous prime is 11282039983. The next prime is 11282040023. The reversal of 11282040000 is 4028211.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 304919982 + ... + 304920018.

Almost surely, 2^11282040000 is an apocalyptic number.

11282040000 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 11282040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067137096).

11282040000 is an abundant number, since it is smaller than the sum of its proper divisors (40852234192).

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

11282040000 is a wasteful number, since it uses less digits than its factorization.

11282040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11282040000 its reverse (4028211), we get a palindrome (11286068211).

The spelling of 11282040000 in words is "eleven billion, two hundred eighty-two million, forty thousand".