110415450340 has 72 divisors (see below), whose sum is σ = 251172546408. Its totient is φ = 40753889280.

The previous prime is 110415450317. The next prime is 110415450371. The reversal of 110415450340 is 43054514011.

It can be written as a sum of positive squares in 12 ways, for example, as 76172688036 + 34242762304 = 275994^2 + 185048^2 .

It is a super-2 number, since 2×110415450340² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110415450299 and 110415450308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14371300 + ... + 14378980.

It is an arithmetic number, because the mean of its divisors is an integer number (3488507589).

Almost surely, 2^110415450340 is an apocalyptic number.

110415450340 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 110415450340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125586273204).

110415450340 is an abundant number, since it is smaller than the sum of its proper divisors (140757096068).

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

110415450340 is a wasteful number, since it uses less digits than its factorization.

110415450340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11954 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 110415450340 its reverse (43054514011), we get a palindrome (153469964351).

The spelling of 110415450340 in words is "one hundred ten billion, four hundred fifteen million, four hundred fifty thousand, three hundred forty".