406966981278 has 256 divisors, whose sum is σ = 1028256768000. Its totient is φ = 105622272000.

The previous prime is 406966981241. The next prime is 406966981313. The reversal of 406966981278 is 872189669604.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114928188 + ... + 114931728.

It is an arithmetic number, because the mean of its divisors is an integer number (4016628000).

Almost surely, 2^406966981278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406966981278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514128384000).

406966981278 is an abundant number, since it is smaller than the sum of its proper divisors (621289786722).

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

406966981278 is a wasteful number, since it uses less digits than its factorization.

406966981278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779.

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 406966981278 in words is "four hundred six billion, nine hundred sixty-six million, nine hundred eighty-one thousand, two hundred seventy-eight".