40341001406112 has 144 divisors (see below), whose sum is σ = 125151730415712. Its totient is φ = 12224258511360.

The previous prime is 40341001406021. The next prime is 40341001406113. The reversal of 40341001406112 is 21160410014304.

40341001406112 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 1 + 0 + 0 + 1 + 40 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40341001406112² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40341001406113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162543298 + ... + 162791294.

It is an arithmetic number, because the mean of its divisors is an integer number (869109238998).

Almost surely, 2^{40341001406112} is an apocalyptic number.

It is an amenable number.

40341001406112 is an abundant number, since it is smaller than the sum of its proper divisors (84810729009600).

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

40341001406112 is a wasteful number, since it uses less digits than its factorization.

40341001406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299371 (or 299360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40341001406112 in words is "forty trillion, three hundred forty-one billion, one million, four hundred six thousand, one hundred twelve".