406456881012 has 384 divisors, whose sum is σ = 1326703616000. Its totient is φ = 106932099456.

The previous prime is 406456881007. The next prime is 406456881067. The reversal of 406456881012 is 210188654604.

It is a happy number.

406456881012 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 568 + 81 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×406456881012² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 263419113 + ... + 263420655.

Almost surely, 2^406456881012 is an apocalyptic number.

406456881012 is a gapful number since it is divisible by the number (42) 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 406456881012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663351808000).

406456881012 is an abundant number, since it is smaller than the sum of its proper divisors (920246734988).

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

406456881012 is a wasteful number, since it uses less digits than its factorization.

406456881012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 406456881012 in words is "four hundred six billion, four hundred fifty-six million, eight hundred eighty-one thousand, twelve".