11420521201440 has 768 divisors, whose sum is σ = 44406172823040. Its totient is φ = 2723794698240.

The previous prime is 11420521201337. The next prime is 11420521201469. The reversal of 11420521201440 is 4410212502411.

11420521201440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 5 + 212 + 0 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229501042 + ... + 229550798.

It is an arithmetic number, because the mean of its divisors is an integer number (57820537530).

Almost surely, 2^{11420521201440} is an apocalyptic number.

11420521201440 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 11420521201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22203086411520).

11420521201440 is an abundant number, since it is smaller than the sum of its proper divisors (32985651621600).

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

11420521201440 is a wasteful number, since it uses less digits than its factorization.

11420521201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49922 (or 49908 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11420521201440 its reverse (4410212502411), we get a palindrome (15830733703851).

The spelling of 11420521201440 in words is "eleven trillion, four hundred twenty billion, five hundred twenty-one million, two hundred one thousand, four hundred forty".