405712961541 has 16 divisors (see below), whose sum is σ = 601618542400. Its totient is φ = 270222271344.

The previous prime is 405712961519. The next prime is 405712961543. The reversal of 405712961541 is 145169217504.

405712961541 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 1 + 29 + 615 + 4 + 1 = 666.

It is not a de Polignac number, because 405712961541 - 2⁷ = 405712961413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405712961543) 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, 6999391 + ... + 7057116.

It is an arithmetic number, because the mean of its divisors is an integer number (37601158900).

Almost surely, 2^405712961541 is an apocalyptic number.

It is an amenable number.

405712961541 is a deficient number, since it is larger than the sum of its proper divisors (195905580859).

405712961541 is a wasteful number, since it uses less digits than its factorization.

405712961541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14057585 (or 14057579 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 405712961541 in words is "four hundred five billion, seven hundred twelve million, nine hundred sixty-one thousand, five hundred forty-one".