40211077729 has 9 divisors (see below), whose sum is σ = 40459445523. Its totient is φ = 39964228992.

The previous prime is 40211077727. The next prime is 40211077759. The reversal of 40211077729 is 92777011204.

The square root of 40211077729 is 200527.

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

It can be written as a sum of positive squares in only one way, i.e., 9742677025 + 30468400704 = 98705^2 + 174552^2 .

It is not a de Polignac number, because 40211077729 - 2¹ = 40211077727 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40211077691 and 40211077700.

It is not an unprimeable number, because it can be changed into a prime (40211077727) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38701192 + ... + 38702230.

It is an arithmetic number, because the mean of its divisors is an integer number (4495493947).

Almost surely, 2^40211077729 is an apocalyptic number.

40211077729 is the 200527-th square number.

40211077729 is the 100264-th centered octagonal number.

It is an amenable number.

40211077729 is a deficient number, since it is larger than the sum of its proper divisors (248367794).

40211077729 is an frugal number, since it uses more digits than its factorization.

40211077729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 40.

The spelling of 40211077729 in words is "forty billion, two hundred eleven million, seventy-seven thousand, seven hundred twenty-nine".