116401140 has 72 divisors (see below), whose sum is σ = 360622080. Its totient is φ = 30377664.

The previous prime is 116401121. The next prime is 116401141. The reversal of 116401140 is 41104611.

116401140 is a `hidden beast` number, since 11 + 640 + 1 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116401141) 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, 1581 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (5008640).

Almost surely, 2^116401140 is an apocalyptic number.

116401140 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 116401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180311040).

116401140 is an abundant number, since it is smaller than the sum of its proper divisors (244220940).

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

116401140 is a wasteful number, since it uses less digits than its factorization.

116401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116401140 is about 10788.9359994394. The cubic root of 116401140 is about 488.2614215637.

Adding to 116401140 its reverse (41104611), we get a palindrome (157505751).

The spelling of 116401140 in words is "one hundred sixteen million, four hundred one thousand, one hundred forty".