40851182462112 has 1536 divisors, whose sum is σ = 141972590592000. Its totient is φ = 11438688844800.

The previous prime is 40851182462099. The next prime is 40851182462143. The reversal of 40851182462112 is 21126428115804.

40851182462112 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 1 + 1 + 8 + 2 + 4 + 621 + 12 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144350467923 + ... + 144350468205.

It is an arithmetic number, because the mean of its divisors is an integer number (92430072000).

Almost surely, 2^{40851182462112} 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 40851182462112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70986295296000).

40851182462112 is an abundant number, since it is smaller than the sum of its proper divisors (101121408129888).

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

40851182462112 is a wasteful number, since it uses less digits than its factorization.

40851182462112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 40851182462112 in words is "forty trillion, eight hundred fifty-one billion, one hundred eighty-two million, four hundred sixty-two thousand, one hundred twelve".