641624000452040 has 32 divisors (see below), whose sum is σ = 1451134073578680. Its totient is φ = 255319809503232.

The previous prime is 641624000451997. The next prime is 641624000452069. The reversal of 641624000452040 is 40254000426146.

It can be written as a sum of positive squares in 4 ways, for example, as 592297454214244 + 49326546237796 = 24337162^2 + 7023286^2 .

It is a super-2 number, since 2×641624000452040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 641624000451985 and 641624000452003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41555950859 + ... + 41555966298.

Almost surely, 2^{641624000452040} is an apocalyptic number.

It is an amenable number.

641624000452040 is an abundant number, since it is smaller than the sum of its proper divisors (809510073126640).

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

641624000452040 is a wasteful number, since it uses less digits than its factorization.

641624000452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83111917361 (or 83111917357 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 641624000452040 its reverse (40254000426146), we get a palindrome (681878000878186).

The spelling of 641624000452040 in words is "six hundred forty-one trillion, six hundred twenty-four billion, four hundred fifty-two thousand, forty".