409897042272 has 288 divisors, whose sum is σ = 1252766904480. Its totient is φ = 131681894400.

The previous prime is 409897042249. The next prime is 409897042277. The reversal of 409897042272 is 272240798904.

It is a happy number.

409897042272 is a `hidden beast` number, since 4 + 0 + 9 + 89 + 70 + 422 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409897042277) 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 47 ways as a sum of consecutive naturals, for example, 158077008 + ... + 158079600.

It is an arithmetic number, because the mean of its divisors is an integer number (4349885085).

Almost surely, 2^409897042272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409897042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626383452240).

409897042272 is an abundant number, since it is smaller than the sum of its proper divisors (842869862208).

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

409897042272 is a wasteful number, since it uses less digits than its factorization.

409897042272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 409897042272 in words is "four hundred nine billion, eight hundred ninety-seven million, forty-two thousand, two hundred seventy-two".