110414540340 has 192 divisors, whose sum is σ = 370451289600. Its totient is φ = 27141101568.

The previous prime is 110414540321. The next prime is 110414540389. The reversal of 110414540340 is 43045414011.

110414540340 is a `hidden beast` number, since 1 + 104 + 14 + 540 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5205276 + ... + 5226444.

It is an arithmetic number, because the mean of its divisors is an integer number (1929433800).

Almost surely, 2^110414540340 is an apocalyptic number.

110414540340 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 110414540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185225644800).

110414540340 is an abundant number, since it is smaller than the sum of its proper divisors (260036749260).

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

110414540340 is a wasteful number, since it uses less digits than its factorization.

110414540340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21943 (or 21935 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 110414540340 its reverse (43045414011), we get a palindrome (153459954351).

The spelling of 110414540340 in words is "one hundred ten billion, four hundred fourteen million, five hundred forty thousand, three hundred forty".