40091652441 has 27 divisors (see below), whose sum is σ = 59866300767. Its totient is φ = 25853568480.

The previous prime is 40091652413. The next prime is 40091652499. The reversal of 40091652441 is 14425619004.

The square root of 40091652441 is 200229.

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

40091652441 is a `hidden beast` number, since 4 + 0 + 0 + 91 + 6 + 524 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2959904025 + 37131748416 = 54405^2 + 192696^2 .

It is a de Polignac number, because none of the positive numbers 2^k-40091652441 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40091652396 and 40091652405.

It is not an unprimeable number, because it can be changed into a prime (40091652541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18620221 + ... + 18622373.

Almost surely, 2^40091652441 is an apocalyptic number.

40091652441 is the 200229-th square number.

40091652441 is the 100115-th centered octagonal number.

It is an amenable number.

40091652441 is a deficient number, since it is larger than the sum of its proper divisors (19774648326).

40091652441 is an frugal number, since it uses more digits than its factorization.

40091652441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 40091652441 by its sum of digits (36), we get a square (1443299487876 = 1201374²).

The spelling of 40091652441 in words is "forty billion, ninety-one million, six hundred fifty-two thousand, four hundred forty-one".