11010354221440 has 512 divisors, whose sum is σ = 32121466272000. Its totient is φ = 3603510263808.

The previous prime is 11010354221431. The next prime is 11010354221527. The reversal of 11010354221440 is 4412245301011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11010354221399 and 11010354221408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430465932 + ... + 430491508.

Almost surely, 2^{11010354221440} is an apocalyptic number.

11010354221440 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 11010354221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060733136000).

11010354221440 is an abundant number, since it is smaller than the sum of its proper divisors (21111112050560).

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

11010354221440 is an equidigital number, since it uses as much as digits as its factorization.

11010354221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25707 (or 25681 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11010354221440 its reverse (4412245301011), we get a palindrome (15422599522451).

The spelling of 11010354221440 in words is "eleven trillion, ten billion, three hundred fifty-four million, two hundred twenty-one thousand, four hundred forty".