2431201344440 has 256 divisors, whose sum is σ = 6407399116800. Its totient is φ = 821446912000.

The previous prime is 2431201344427. The next prime is 2431201344457. The reversal of 2431201344440 is 444431021342.

It is a junction number, because it is equal to n+sod(n) for n = 2431201344397 and 2431201344406.

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, 54149921 + ... + 54194799.

It is an arithmetic number, because the mean of its divisors is an integer number (25028902800).

Almost surely, 2^{2431201344440} is an apocalyptic number.

2431201344440 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 2431201344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203699558400).

2431201344440 is an abundant number, since it is smaller than the sum of its proper divisors (3976197772360).

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

2431201344440 is a wasteful number, since it uses less digits than its factorization.

2431201344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45078 (or 45074 counting only the distinct ones).

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

Adding to 2431201344440 its reverse (444431021342), we get a palindrome (2875632365782).

The spelling of 2431201344440 in words is "two trillion, four hundred thirty-one billion, two hundred one million, three hundred forty-four thousand, four hundred forty".