409792953168 has 80 divisors (see below), whose sum is σ = 1190429432640. Its totient is φ = 134951884416.

The previous prime is 409792953133. The next prime is 409792953169. The reversal of 409792953168 is 861359297904.

409792953168 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 92 + 9 + 531 + 6 + 8 = 666.

It is a super-3 number, since 3×409792953168³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409792953169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5678571 + ... + 5750282.

It is an arithmetic number, because the mean of its divisors is an integer number (14880367908).

It is a 1-persistent number, because it is pandigital, but 2⋅409792953168 = 819585906336 is not.

Almost surely, 2^409792953168 is an apocalyptic number.

409792953168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409792953168 is an abundant number, since it is smaller than the sum of its proper divisors (780636479472).

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

409792953168 is a wasteful number, since it uses less digits than its factorization.

409792953168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428953 (or 11428941 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 409792953168 in words is "four hundred nine billion, seven hundred ninety-two million, nine hundred fifty-three thousand, one hundred sixty-eight".