40242039180768 has 120 divisors (see below), whose sum is σ = 118352875493160. Its totient is φ = 13413768687360.

The previous prime is 40242039180767. The next prime is 40242039180787. The reversal of 40242039180768 is 86708193024204.

40242039180768 is a `hidden beast` number, since 4 + 0 + 2 + 420 + 39 + 180 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40242039180767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 193080198 + ... + 193288506.

It is an arithmetic number, because the mean of its divisors is an integer number (986273962443).

Almost surely, 2^{40242039180768} is an apocalyptic number.

40242039180768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40242039180768 is an abundant number, since it is smaller than the sum of its proper divisors (78110836312392).

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

40242039180768 is a wasteful number, since it uses less digits than its factorization.

40242039180768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282862 (or 282845 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 40242039180768 in words is "forty trillion, two hundred forty-two billion, thirty-nine million, one hundred eighty thousand, seven hundred sixty-eight".