406205774541 has 48 divisors (see below), whose sum is σ = 684142692480. Its totient is φ = 227428456320.

The previous prime is 406205774531. The next prime is 406205774549. The reversal of 406205774541 is 145477502604.

406205774541 is a `hidden beast` number, since 4 + 0 + 6 + 20 + 577 + 4 + 54 + 1 = 666.

It is not a de Polignac number, because 406205774541 - 2¹³ = 406205766349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406205774549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385211 + ... + 2549831.

It is an arithmetic number, because the mean of its divisors is an integer number (14252972760).

Almost surely, 2^406205774541 is an apocalyptic number.

It is an amenable number.

406205774541 is a deficient number, since it is larger than the sum of its proper divisors (277936917939).

406205774541 is a wasteful number, since it uses less digits than its factorization.

406205774541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165426 (or 165423 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 406205774541 in words is "four hundred six billion, two hundred five million, seven hundred seventy-four thousand, five hundred forty-one".