641516000940 has 144 divisors (see below), whose sum is σ = 1968057628992. Its totient is φ = 169129525248.

The previous prime is 641516000929. The next prime is 641516000953. The reversal of 641516000940 is 49000615146.

641516000940 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 1 + 600 + 0 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 641516000895 and 641516000904.

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, 17039617 + ... + 17077223.

It is an arithmetic number, because the mean of its divisors is an integer number (13667066868).

Almost surely, 2^641516000940 is an apocalyptic number.

641516000940 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 641516000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984028814496).

641516000940 is an abundant number, since it is smaller than the sum of its proper divisors (1326541628052).

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

641516000940 is a wasteful number, since it uses less digits than its factorization.

641516000940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38696 (or 38691 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 641516000940 in words is "six hundred forty-one billion, five hundred sixteen million, nine hundred forty", and thus it is an aban number.