2431023441440 has 96 divisors (see below), whose sum is σ = 6272881937280. Its totient is φ = 882954342400.

The previous prime is 2431023441313. The next prime is 2431023441491. The reversal of 2431023441440 is 441443201342.

It is a super-2 number, since 2×2431023441440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2431023441397 and 2431023441406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653480 + ... + 2299800.

It is an arithmetic number, because the mean of its divisors is an integer number (65342520180).

Almost surely, 2^{2431023441440} is an apocalyptic number.

2431023441440 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 2431023441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136440968640).

2431023441440 is an abundant number, since it is smaller than the sum of its proper divisors (3841858495840).

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

2431023441440 is a wasteful number, since it uses less digits than its factorization.

2431023441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647186 (or 1647178 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2431023441440 its reverse (441443201342), we get a palindrome (2872466642782).

The spelling of 2431023441440 in words is "two trillion, four hundred thirty-one billion, twenty-three million, four hundred forty-one thousand, four hundred forty".