11401100040 has 128 divisors (see below), whose sum is σ = 37501056000. Its totient is φ = 2749950720.

The previous prime is 11401100017. The next prime is 11401100047. The reversal of 11401100040 is 4000110411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11401099989 and 11401100025.

It is not an unprimeable number, because it can be changed into a prime (11401100047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240979 + ... + 284381.

It is an arithmetic number, because the mean of its divisors is an integer number (292977000).

Almost surely, 2^11401100040 is an apocalyptic number.

11401100040 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 11401100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18750528000).

11401100040 is an abundant number, since it is smaller than the sum of its proper divisors (26099955960).

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

11401100040 is a wasteful number, since it uses less digits than its factorization.

11401100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43627 (or 43623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11401100040 its reverse (4000110411), we get a palindrome (15401210451).

The spelling of 11401100040 in words is "eleven billion, four hundred one million, one hundred thousand, forty".