641269290144 has 48 divisors (see below), whose sum is σ = 1923807872448. Its totient is φ = 183219796992.

The previous prime is 641269290139. The next prime is 641269290161. The reversal of 641269290144 is 441092962146.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×641269290144⁵ (a number of 60 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 641269290093 and 641269290102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477134217 + ... + 477135560.

It is an arithmetic number, because the mean of its divisors is an integer number (40079330676).

Almost surely, 2^641269290144 is an apocalyptic number.

It is an amenable number.

641269290144 is an abundant number, since it is smaller than the sum of its proper divisors (1282538582304).

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

641269290144 is a wasteful number, since it uses less digits than its factorization.

641269290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954269797 (or 954269789 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 641269290144 in words is "six hundred forty-one billion, two hundred sixty-nine million, two hundred ninety thousand, one hundred forty-four".