409996274688 has 1056 divisors, whose sum is σ = 1623739353600. Its totient is φ = 98192424960.

The previous prime is 409996274683. The next prime is 409996274707. The reversal of 409996274688 is 886472699904.

409996274688 is a `hidden beast` number, since 409 + 9 + 96 + 2 + 74 + 68 + 8 = 666.

409996274688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (409996274683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452035131 + ... + 452036037.

Almost surely, 2^409996274688 is an apocalyptic number.

409996274688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409996274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811869676800).

409996274688 is an abundant number, since it is smaller than the sum of its proper divisors (1213743078912).

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

409996274688 is a wasteful number, since it uses less digits than its factorization.

409996274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 409996274688 in words is "four hundred nine billion, nine hundred ninety-six million, two hundred seventy-four thousand, six hundred eighty-eight".