40690554961 has 9 divisors (see below), whose sum is σ = 47335553499. Its totient is φ = 34876408224.

The previous prime is 40690554937. The next prime is 40690555051. The reversal of 40690554961 is 16945509604.

The square root of 40690554961 is 201719.

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., 39257478225 + 1433076736 = 198135^2 + 37856^2 .

It is not a de Polignac number, because 40690554961 - 2¹⁹ = 40690030673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40690554161) 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, 1397625 + ... + 1426441.

Almost surely, 2^40690554961 is an apocalyptic number.

40690554961 is the 201719-th square number.

40690554961 is the 100860-th centered octagonal number.

It is an amenable number.

40690554961 is a deficient number, since it is larger than the sum of its proper divisors (6644998538).

40690554961 is an frugal number, since it uses more digits than its factorization.

40690554961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57648 (or 28824 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 40690554961 by its sum of digits (49), we get a square (1993837193089 = 1412033²).

40690554961 divided by its sum of digits (49) gives a square (830419489 = 28817²).

The spelling of 40690554961 in words is "forty billion, six hundred ninety million, five hundred fifty-four thousand, nine hundred sixty-one".