40349908636128 has 144 divisors (see below), whose sum is σ = 141224680318176. Its totient is φ = 10641734138880.

The previous prime is 40349908635979. The next prime is 40349908636133. The reversal of 40349908636128 is 82163680994304.

40349908636128 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 9 + 9 + 0 + 8 + 6 + 3 + 612 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769775163 + ... + 769827578.

It is an arithmetic number, because the mean of its divisors is an integer number (980726946654).

Almost surely, 2^{40349908636128} is an apocalyptic number.

40349908636128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40349908636128 is an abundant number, since it is smaller than the sum of its proper divisors (100874771682048).

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

40349908636128 is a wasteful number, since it uses less digits than its factorization.

40349908636128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539602777 (or 1539602766 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 40349908636128 in words is "forty trillion, three hundred forty-nine billion, nine hundred eight million, six hundred thirty-six thousand, one hundred twenty-eight".