641264254240 has 48 divisors (see below), whose sum is σ = 1604103678072. Its totient is φ = 241417129984.

The previous prime is 641264254207. The next prime is 641264254243. The reversal of 641264254240 is 42452462146.

641264254240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 486182663824 + 155081590416 = 697268^2 + 393804^2 .

It is a super-2 number, since 2×641264254240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 641264254193 and 641264254202.

It is not an unprimeable number, because it can be changed into a prime (641264254243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117876739 + ... + 117882178.

Almost surely, 2^641264254240 is an apocalyptic number.

It is an amenable number.

641264254240 is an abundant number, since it is smaller than the sum of its proper divisors (962839423832).

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

641264254240 is a wasteful number, since it uses less digits than its factorization.

641264254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235758949 (or 235758941 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 641264254240 in words is "six hundred forty-one billion, two hundred sixty-four million, two hundred fifty-four thousand, two hundred forty".