541175670640 has 80 divisors (see below), whose sum is σ = 1374039912960. Its totient is φ = 196587336960.

The previous prime is 541175670601. The next prime is 541175670647. The reversal of 541175670640 is 46076571145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×541175670640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541175670647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532981 + ... + 1168939.

It is an arithmetic number, because the mean of its divisors is an integer number (17175498912).

Almost surely, 2^541175670640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541175670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687019956480).

541175670640 is an abundant number, since it is smaller than the sum of its proper divisors (832864242320).

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

541175670640 is a wasteful number, since it uses less digits than its factorization.

541175670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636950 (or 636944 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 541175670640 in words is "five hundred forty-one billion, one hundred seventy-five million, six hundred seventy thousand, six hundred forty".