409956146061 has 16 divisors (see below), whose sum is σ = 681485541888. Its totient is φ = 212964231600.

The previous prime is 409956146051. The next prime is 409956146069. The reversal of 409956146061 is 160641659904.

It is a happy number.

It is not a de Polignac number, because 409956146061 - 2¹⁴ = 409956129677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409956145995 and 409956146013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409956146069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887350735 + ... + 887351196.

It is an arithmetic number, because the mean of its divisors is an integer number (42592846368).

Almost surely, 2^409956146061 is an apocalyptic number.

It is an amenable number.

409956146061 is a deficient number, since it is larger than the sum of its proper divisors (271529395827).

409956146061 is a wasteful number, since it uses less digits than its factorization.

409956146061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774701952.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 409956146061 in words is "four hundred nine billion, nine hundred fifty-six million, one hundred forty-six thousand, sixty-one".