11410401001120 has 144 divisors (see below), whose sum is σ = 29639491176960. Its totient is φ = 4147977827840.

The previous prime is 11410401000923. The next prime is 11410401001121. The reversal of 11410401001120 is 2110010401411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11410401001094 and 11410401001103.

It is not an unprimeable number, because it can be changed into a prime (11410401001121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64942509 + ... + 65117971.

It is an arithmetic number, because the mean of its divisors is an integer number (205829799840).

Almost surely, 2^{11410401001120} is an apocalyptic number.

11410401001120 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 11410401001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819745588480).

11410401001120 is an abundant number, since it is smaller than the sum of its proper divisors (18229090175840).

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

11410401001120 is a wasteful number, since it uses less digits than its factorization.

11410401001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178859 (or 178840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11410401001120 its reverse (2110010401411), we get a palindrome (13520411402531).

The spelling of 11410401001120 in words is "eleven trillion, four hundred ten billion, four hundred one million, one thousand, one hundred twenty".