641057303040 has 1920 divisors, whose sum is σ = 2824920907776. Its totient is φ = 121326796800.

The previous prime is 641057303027. The next prime is 641057303077. The reversal of 641057303040 is 40303750146.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 641057302992 and 641057303010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20679267825 + ... + 20679267855.

Almost surely, 2^641057303040 is an apocalyptic number.

641057303040 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 641057303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412460453888).

641057303040 is an abundant number, since it is smaller than the sum of its proper divisors (2183863604736).

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

641057303040 is a wasteful number, since it uses less digits than its factorization.

641057303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 641057303040 in words is "six hundred forty-one billion, fifty-seven million, three hundred three thousand, forty".