641436510000 has 400 divisors, whose sum is σ = 2432659299840. Its totient is φ = 143537280000.

The previous prime is 641436509981. The next prime is 641436510031. The reversal of 641436510000 is 15634146.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×641436510000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 641436510000.

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 79 ways as a sum of consecutive naturals, for example, 4215241 + ... + 4364759.

Almost surely, 2^641436510000 is an apocalyptic number.

641436510000 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 641436510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216329649920).

641436510000 is an abundant number, since it is smaller than the sum of its proper divisors (1791222789840).

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

641436510000 is a wasteful number, since it uses less digits than its factorization.

641436510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149574 (or 149553 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 641436510000 in words is "six hundred forty-one billion, four hundred thirty-six million, five hundred ten thousand".