641238406080 has 448 divisors, whose sum is σ = 2182368780288. Its totient is φ = 158957568000.

The previous prime is 641238406069. The next prime is 641238406177. The reversal of 641238406080 is 80604832146.

It is a super-2 number, since 2×641238406080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853845705 + ... + 853846455.

Almost surely, 2^641238406080 is an apocalyptic number.

641238406080 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 641238406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091184390144).

641238406080 is an abundant number, since it is smaller than the sum of its proper divisors (1541130374208).

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

641238406080 is a wasteful number, since it uses less digits than its factorization.

641238406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 641238406080 in words is "six hundred forty-one billion, two hundred thirty-eight million, four hundred six thousand, eighty".