11120461440 has 384 divisors, whose sum is σ = 39343570560. Its totient is φ = 2669568000.

The previous prime is 11120461433. The next prime is 11120461441. The reversal of 11120461440 is 4416402111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11120461440.

It is not an unprimeable number, because it can be changed into a prime (11120461441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35080162 + ... + 35080478.

It is an arithmetic number, because the mean of its divisors is an integer number (102457215).

Almost surely, 2^11120461440 is an apocalyptic number.

11120461440 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 11120461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671785280).

11120461440 is an abundant number, since it is smaller than the sum of its proper divisors (28223109120).

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

11120461440 is a wasteful number, since it uses less digits than its factorization.

11120461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11120461440 its reverse (4416402111), we get a palindrome (15536863551).

The spelling of 11120461440 in words is "eleven billion, one hundred twenty million, four hundred sixty-one thousand, four hundred forty".