11284505821440 has 432 divisors, whose sum is σ = 39281938703280. Its totient is φ = 2990832353280.

The previous prime is 11284505821373. The next prime is 11284505821489. The reversal of 11284505821440 is 4412850548211.

11284505821440 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 50 + 582 + 14 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191129849856 + 11093375971584 = 437184^2 + 3330672^2 .

It is a super-2 number, since 2×11284505821440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3710786320 + ... + 3710789360.

It is an arithmetic number, because the mean of its divisors is an integer number (90930413665).

Almost surely, 2^{11284505821440} is an apocalyptic number.

11284505821440 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 11284505821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19640969351640).

11284505821440 is an abundant number, since it is smaller than the sum of its proper divisors (27997432881840).

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

11284505821440 is a wasteful number, since it uses less digits than its factorization.

11284505821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 11284505821440 in words is "eleven trillion, two hundred eighty-four billion, five hundred five million, eight hundred twenty-one thousand, four hundred forty".