640024520124040 has 256 divisors, whose sum is σ = 1569702888000000. Its totient is φ = 233935811665920.

The previous prime is 640024520123993. The next prime is 640024520124131. The reversal of 640024520124040 is 40421025420046.

It is a junction number, because it is equal to n+sod(n) for n = 640024520123987 and 640024520124005.

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, 141629676901 + ... + 141629681419.

It is an arithmetic number, because the mean of its divisors is an integer number (6131651906250).

Almost surely, 2^{640024520124040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640024520124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784851444000000).

640024520124040 is an abundant number, since it is smaller than the sum of its proper divisors (929678367875960).

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

640024520124040 is a wasteful number, since it uses less digits than its factorization.

640024520124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9648 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 640024520124040 its reverse (40421025420046), we get a palindrome (680445545544086).

The spelling of 640024520124040 in words is "six hundred forty trillion, twenty-four billion, five hundred twenty million, one hundred twenty-four thousand, forty".