240130411440 has 320 divisors, whose sum is σ = 824796245376. Its totient is φ = 57530843136.

The previous prime is 240130411429. The next prime is 240130411453. The reversal of 240130411440 is 44114031042.

It is a super-3 number, since 3×240130411440³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240130411440.

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, 7985874 + ... + 8015886.

Almost surely, 2^240130411440 is an apocalyptic number.

240130411440 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 240130411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412398122688).

240130411440 is an abundant number, since it is smaller than the sum of its proper divisors (584665833936).

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

240130411440 is a wasteful number, since it uses less digits than its factorization.

240130411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30136 (or 30130 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 240130411440 its reverse (44114031042), we get a palindrome (284244442482).

The spelling of 240130411440 in words is "two hundred forty billion, one hundred thirty million, four hundred eleven thousand, four hundred forty".