40261766086656 has 741 divisors, whose sum is σ = 128307932806549. Its totient is φ = 12631142301696.

The previous prime is 40261766086613. The next prime is 40261766086657. The reversal of 40261766086656 is 65668066716204.

The square root of 40261766086656 is 6345216.

It is a perfect power (a square), and thus also a powerful number.

40261766086656 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 17 + 6 + 608 + 6 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31345665638400 + 8916100448256 = 5598720^2 + 2985984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40261766086593 and 40261766086602.

It is not an unprimeable number, because it can be changed into a prime (40261766086657) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 2368339181560 + ... + 2368339181576.

Almost surely, 2^{40261766086656} is an apocalyptic number.

40261766086656 is the 6345216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40261766086656

40261766086656 is an abundant number, since it is smaller than the sum of its proper divisors (88046166719893).

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

40261766086656 is an frugal number, since it uses more digits than its factorization.

40261766086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 40261766086656 in words is "forty trillion, two hundred sixty-one billion, seven hundred sixty-six million, eighty-six thousand, six hundred fifty-six".