640041252120 has 256 divisors, whose sum is σ = 2185143091200. Its totient is φ = 166577748480.

The previous prime is 640041252073. The next prime is 640041252181. The reversal of 640041252120 is 21252140046.

640041252120 is a `hidden beast` number, since 6 + 400 + 4 + 1 + 252 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10903569 + ... + 10962111.

It is an arithmetic number, because the mean of its divisors is an integer number (8535715200).

Almost surely, 2^640041252120 is an apocalyptic number.

640041252120 is a gapful number since it is divisible by the number (60) 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 640041252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092571545600).

640041252120 is an abundant number, since it is smaller than the sum of its proper divisors (1545101839080).

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

640041252120 is a wasteful number, since it uses less digits than its factorization.

640041252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58807 (or 58797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 640041252120 its reverse (21252140046), we get a palindrome (661293392166).

The spelling of 640041252120 in words is "six hundred forty billion, forty-one million, two hundred fifty-two thousand, one hundred twenty".