110413130240 has 320 divisors, whose sum is σ = 319796674560. Its totient is φ = 35741122560.

The previous prime is 110413130227. The next prime is 110413130279. The reversal of 110413130240 is 42031314011.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32558945 + ... + 32562335.

It is an arithmetic number, because the mean of its divisors is an integer number (999364608).

Almost surely, 2^110413130240 is an apocalyptic number.

110413130240 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 110413130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159898337280).

110413130240 is an abundant number, since it is smaller than the sum of its proper divisors (209383544320).

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

110413130240 is an equidigital number, since it uses as much as digits as its factorization.

110413130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 110413130240 its reverse (42031314011), we get a palindrome (152444444251).

The spelling of 110413130240 in words is "one hundred ten billion, four hundred thirteen million, one hundred thirty thousand, two hundred forty".