2440332413040 has 160 divisors (see below), whose sum is σ = 7593962812416. Its totient is φ = 648270443520.

The previous prime is 2440332413033. The next prime is 2440332413089. The reversal of 2440332413040 is 403142330442.

It is a happy number.

It is a super-2 number, since 2×2440332413040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2440332412989 and 2440332413007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82868559 + ... + 82898001.

Almost surely, 2^{2440332413040} is an apocalyptic number.

2440332413040 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 2440332413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796981406208).

2440332413040 is an abundant number, since it is smaller than the sum of its proper divisors (5153630399376).

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

2440332413040 is a wasteful number, since it uses less digits than its factorization.

2440332413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30767 (or 30761 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 2440332413040 its reverse (403142330442), we get a palindrome (2843474743482).

The spelling of 2440332413040 in words is "two trillion, four hundred forty billion, three hundred thirty-two million, four hundred thirteen thousand, forty".