400601650761 has 27 divisors (see below), whose sum is σ = 626620680309. Its totient is φ = 246508902432.

The previous prime is 400601650753. The next prime is 400601650769. The reversal of 400601650761 is 167056106004.

The square root of 400601650761 is 632931.

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

400601650761 is a `hidden beast` number, since 40 + 0 + 601 + 6 + 5 + 0 + 7 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (400601650753) and next prime (400601650769).

It can be written as a sum of positive squares in 4 ways, for example, as 22199510025 + 378402140736 = 148995^2 + 615144^2 .

It is not a de Polignac number, because 400601650761 - 2³ = 400601650753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400601650769) 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, 24676195 + ... + 24692423.

Almost surely, 2^400601650761 is an apocalyptic number.

400601650761 is the 632931-st square number.

400601650761 is the 316466-th centered octagonal number.

It is an amenable number.

400601650761 is a deficient number, since it is larger than the sum of its proper divisors (226019029548).

400601650761 is an frugal number, since it uses more digits than its factorization.

400601650761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32490 (or 16245 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 400601650761 by its sum of digits (36), we get a square (14421659427396 = 3797586²).

Adding to 400601650761 its reverse (167056106004), we get a palindrome (567657756765).

The spelling of 400601650761 in words is "four hundred billion, six hundred one million, six hundred fifty thousand, seven hundred sixty-one".