40962009624649 has 9 divisors (see below), whose sum is σ = 41389279166901. Its totient is φ = 40539106450560.

The previous prime is 40962009624637. The next prime is 40962009624707. The reversal of 40962009624649 is 94642690026904.

The square root of 40962009624649 is 6400157.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2931748695225 + 38030260929424 = 1712235^2 + 6166868^2 .

It is not a de Polignac number, because 40962009624649 - 2⁴³ = 32165916602441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40962009624749) 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, 620782239 + ... + 620848219.

Almost surely, 2^{40962009624649} is an apocalyptic number.

40962009624649 is the 6400157-th square number.

40962009624649 is the 3200079-th centered octagonal number.

It is an amenable number.

40962009624649 is a deficient number, since it is larger than the sum of its proper divisors (427269542252).

40962009624649 is an frugal number, since it uses more digits than its factorization.

40962009624649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132156 (or 66078 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 61.

The spelling of 40962009624649 in words is "forty trillion, nine hundred sixty-two billion, nine million, six hundred twenty-four thousand, six hundred forty-nine".