461039642001 has 27 divisors (see below), whose sum is σ = 669451110601. Its totient is φ = 305750533704.

The previous prime is 461039641991. The next prime is 461039642009. The reversal of 461039642001 is 100246930164.

The square root of 461039642001 is 678999.

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

461039642001 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 3 + 9 + 642 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 461039642001 - 2⁷ = 461039641873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (461039642009) 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, 486841810 + ... + 486842756.

Almost surely, 2^461039642001 is an apocalyptic number.

461039642001 is the 678999-th square number.

461039642001 is the 339500-th centered octagonal number.

It is an amenable number.

461039642001 is a deficient number, since it is larger than the sum of its proper divisors (208411468600).

461039642001 is an frugal number, since it uses more digits than its factorization.

461039642001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 461039642001 by its sum of digits (36), we get a square (16597427112036 = 4073994²).

The spelling of 461039642001 in words is "four hundred sixty-one billion, thirty-nine million, six hundred forty-two thousand, one".