40405206851712 has 256 divisors, whose sum is σ = 121249520784000. Its totient is φ = 13242898206720.

The previous prime is 40405206851699. The next prime is 40405206851749. The reversal of 40405206851712 is 21715860250404.

40405206851712 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 520 + 6 + 8 + 51 + 71 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619555618 + ... + 619620830.

Almost surely, 2^{40405206851712} 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 40405206851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60624760392000).

40405206851712 is an abundant number, since it is smaller than the sum of its proper divisors (80844313932288).

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

40405206851712 is a wasteful number, since it uses less digits than its factorization.

40405206851712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68236 (or 68218 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 40405206851712 in words is "forty trillion, four hundred five billion, two hundred six million, eight hundred fifty-one thousand, seven hundred twelve".