240044130240100 has 144 divisors (see below), whose sum is σ = 558209238447168. Its totient is φ = 89276362076160.

The previous prime is 240044130240071. The next prime is 240044130240169. The reversal of 240044130240100 is 1042031440042.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4839281899 + ... + 4839331501.

It is an arithmetic number, because the mean of its divisors is an integer number (3876453044772).

Almost surely, 2^{240044130240100} is an apocalyptic number.

240044130240100 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 240044130240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279104619223584).

240044130240100 is an abundant number, since it is smaller than the sum of its proper divisors (318165108207068).

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

240044130240100 is a wasteful number, since it uses less digits than its factorization.

240044130240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84014 (or 84007 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 240044130240100 its reverse (1042031440042), we get a palindrome (241086161680142).

The spelling of 240044130240100 in words is "two hundred forty trillion, forty-four billion, one hundred thirty million, two hundred forty thousand, one hundred".