2431411402040 has 192 divisors, whose sum is σ = 6157460786400. Its totient is φ = 860927533056.

The previous prime is 2431411402031. The next prime is 2431411402067. The reversal of 2431411402040 is 402041141342.

2431411402040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431411402040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 34086092 + ... + 34157348.

Almost surely, 2^{2431411402040} is an apocalyptic number.

2431411402040 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 2431411402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078730393200).

2431411402040 is an abundant number, since it is smaller than the sum of its proper divisors (3726049384360).

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

2431411402040 is a wasteful number, since it uses less digits than its factorization.

2431411402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71462 (or 71439 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2431411402040 its reverse (402041141342), we get a palindrome (2833452543382).

The spelling of 2431411402040 in words is "two trillion, four hundred thirty-one billion, four hundred eleven million, four hundred two thousand, forty".