641199540240 has 640 divisors, whose sum is σ = 2671029043200. Its totient is φ = 138207928320.

The previous prime is 641199540173. The next prime is 641199540307. The reversal of 641199540240 is 42045991146.

641199540240 is a `hidden beast` number, since 6 + 4 + 11 + 99 + 540 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (641199540173) and next prime (641199540307).

It is a super-2 number, since 2×641199540240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24677976 + ... + 24703944.

It is an arithmetic number, because the mean of its divisors is an integer number (4173482880).

Almost surely, 2^641199540240 is an apocalyptic number.

641199540240 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 641199540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335514521600).

641199540240 is an abundant number, since it is smaller than the sum of its proper divisors (2029829502960).

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

641199540240 is a wasteful number, since it uses less digits than its factorization.

641199540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26092 (or 26080 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 641199540240 in words is "six hundred forty-one billion, one hundred ninety-nine million, five hundred forty thousand, two hundred forty".