40674016068840 has 768 divisors, whose sum is σ = 174786812928000. Its totient is φ = 7941674557440.

The previous prime is 40674016068781. The next prime is 40674016068887. The reversal of 40674016068840 is 4886061047604.

40674016068840 is a `hidden beast` number, since 4 + 0 + 67 + 401 + 60 + 6 + 88 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291627841 + ... + 291767279.

It is an arithmetic number, because the mean of its divisors is an integer number (227586996000).

Almost surely, 2^{40674016068840} is an apocalyptic number.

40674016068840 is a gapful number since it is divisible by the number (40) 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 40674016068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393406464000).

40674016068840 is an abundant number, since it is smaller than the sum of its proper divisors (134112796859160).

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

40674016068840 is a wasteful number, since it uses less digits than its factorization.

40674016068840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140110 (or 140103 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40674016068840 in words is "forty trillion, six hundred seventy-four billion, sixteen million, sixty-eight thousand, eight hundred forty".