11441092561920 has 2464 divisors, whose sum is σ = 49899458949120. Its totient is φ = 2459495301120.

The previous prime is 11441092561903. The next prime is 11441092561931. The reversal of 11441092561920 is 2916529014411.

11441092561920 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 0 + 9 + 2 + 5 + 619 + 20 = 666.

It is a super-2 number, since 2×11441092561920² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 223 ways as a sum of consecutive naturals, for example, 47473413000 + ... + 47473413240.

Almost surely, 2^{11441092561920} is an apocalyptic number.

11441092561920 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 11441092561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24949729474560).

11441092561920 is an abundant number, since it is smaller than the sum of its proper divisors (38458366387200).

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

11441092561920 is an equidigital number, since it uses as much as digits as its factorization.

11441092561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11441092561920 in words is "eleven trillion, four hundred forty-one billion, ninety-two million, five hundred sixty-one thousand, nine hundred twenty".