406078729612416 has 1280 divisors, whose sum is σ = 1485630750067200. Its totient is φ = 107473924915200.

The previous prime is 406078729612403. The next prime is 406078729612427. The reversal of 406078729612416 is 614216927870604.

406078729612416 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 7 + 8 + 7 + 2 + 9 + 612 + 4 + 1 + 6 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20306972530 + ... + 20306992526.

It is an arithmetic number, because the mean of its divisors is an integer number (1160649023490).

Almost surely, 2^{406078729612416} 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 406078729612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815375033600).

406078729612416 is an abundant number, since it is smaller than the sum of its proper divisors (1079552020454784).

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

406078729612416 is a wasteful number, since it uses less digits than its factorization.

406078729612416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307 (or 20286 counting only the distinct ones).

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

The spelling of 406078729612416 in words is "four hundred six trillion, seventy-eight billion, seven hundred twenty-nine million, six hundred twelve thousand, four hundred sixteen".