541768005040 has 40 divisors (see below), whose sum is σ = 1280959955280. Its totient is φ = 213034196736.

The previous prime is 541768005007. The next prime is 541768005133. The reversal of 541768005040 is 40500867145.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 541768004984 and 541768005002.

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, 57385959 + ... + 57395398.

It is an arithmetic number, because the mean of its divisors is an integer number (32023998882).

Almost surely, 2^541768005040 is an apocalyptic number.

It is an amenable number.

541768005040 is an abundant number, since it is smaller than the sum of its proper divisors (739191950240).

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

541768005040 is a wasteful number, since it uses less digits than its factorization.

541768005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114781429 (or 114781423 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 541768005040 in words is "five hundred forty-one billion, seven hundred sixty-eight million, five thousand, forty".