40824606601 has 9 divisors (see below), whose sum is σ = 41269630311. Its totient is φ = 40384337472.

The previous prime is 40824606593. The next prime is 40824606611. The reversal of 40824606601 is 10660642804.

The square root of 40824606601 is 202051.

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., 18331806025 + 22492800576 = 135395^2 + 149976^2 .

It is not a de Polignac number, because 40824606601 - 2³ = 40824606593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40824606611) 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, 19597906 + ... + 19599988.

It is an arithmetic number, because the mean of its divisors is an integer number (4585514479).

Almost surely, 2^40824606601 is an apocalyptic number.

40824606601 is the 202051-st square number.

40824606601 is the 101026-th centered octagonal number.

It is an amenable number.

40824606601 is a deficient number, since it is larger than the sum of its proper divisors (445023710).

40824606601 is an frugal number, since it uses more digits than its factorization.

40824606601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 40824606601 in words is "forty billion, eight hundred twenty-four million, six hundred six thousand, six hundred one".