409678437168 has 720 divisors, whose sum is σ = 1583014305600. Its totient is φ = 98205972480.

The previous prime is 409678437131. The next prime is 409678437173. The reversal of 409678437168 is 861734876904.

409678437168 is a `hidden beast` number, since 40 + 96 + 7 + 84 + 371 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77690980 + ... + 77696252.

It is an arithmetic number, because the mean of its divisors is an integer number (2198630980).

Almost surely, 2^409678437168 is an apocalyptic number.

409678437168 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 409678437168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791507152800).

409678437168 is an abundant number, since it is smaller than the sum of its proper divisors (1173335868432).

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

409678437168 is a wasteful number, since it uses less digits than its factorization.

409678437168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 409678437168 in words is "four hundred nine billion, six hundred seventy-eight million, four hundred thirty-seven thousand, one hundred sixty-eight".