240105512010140 has 192 divisors, whose sum is σ = 609714459648000. Its totient is φ = 77586566770944.

The previous prime is 240105512010113. The next prime is 240105512010163. The reversal of 240105512010140 is 41010215501042.

It is a happy number.

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, 4439547539 + ... + 4439601621.

It is an arithmetic number, because the mean of its divisors is an integer number (3175596144000).

Almost surely, 2^{240105512010140} is an apocalyptic number.

240105512010140 is a gapful number since it is divisible by the number (20) 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 240105512010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304857229824000).

240105512010140 is an abundant number, since it is smaller than the sum of its proper divisors (369608947637860).

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

240105512010140 is a wasteful number, since it uses less digits than its factorization.

240105512010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62704 (or 62702 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 240105512010140 its reverse (41010215501042), we get a palindrome (281115727511182).

The spelling of 240105512010140 in words is "two hundred forty trillion, one hundred five billion, five hundred twelve million, ten thousand, one hundred forty".