11023818240 has 320 divisors, whose sum is σ = 38308976640. Its totient is φ = 2694021120.

The previous prime is 11023818233. The next prime is 11023818251. The reversal of 11023818240 is 4281832011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11023818198 and 11023818207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522302 + ... + 4524738.

It is an arithmetic number, because the mean of its divisors is an integer number (119715552).

Almost surely, 2^11023818240 is an apocalyptic number.

11023818240 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 11023818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19154488320).

11023818240 is an abundant number, since it is smaller than the sum of its proper divisors (27285158400).

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

11023818240 is a wasteful number, since it uses less digits than its factorization.

11023818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 11023818240 in words is "eleven billion, twenty-three million, eight hundred eighteen thousand, two hundred forty".