40727171896416 has 144 divisors (see below), whose sum is σ = 121552034044896. Its totient is φ = 12910414184448.

The previous prime is 40727171896379. The next prime is 40727171896417. The reversal of 40727171896416 is 61469817172704.

40727171896416 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 71 + 71 + 89 + 6 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40727171896417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16624065 + ... + 18915968.

It is an arithmetic number, because the mean of its divisors is an integer number (844111347534).

Almost surely, 2^{40727171896416} is an apocalyptic number.

40727171896416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40727171896416 is an abundant number, since it is smaller than the sum of its proper divisors (80824862148480).

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

40727171896416 is a wasteful number, since it uses less digits than its factorization.

40727171896416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35540245 (or 35540234 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 40727171896416 in words is "forty trillion, seven hundred twenty-seven billion, one hundred seventy-one million, eight hundred ninety-six thousand, four hundred sixteen".