481642041972001 has 16 divisors (see below), whose sum is σ = 483007417816000. Its totient is φ = 480278705356800.

The previous prime is 481642041971963. The next prime is 481642041972031. The reversal of 481642041972001 is 100279140246184.

It is a cyclic number.

It is not a de Polignac number, because 481642041972001 - 2⁷ = 481642041971873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481642041972031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7677863806 + ... + 7677926536.

It is an arithmetic number, because the mean of its divisors is an integer number (30187963613500).

Almost surely, 2^{481642041972001} is an apocalyptic number.

It is an amenable number.

481642041972001 is a deficient number, since it is larger than the sum of its proper divisors (1365375843999).

481642041972001 is a wasteful number, since it uses less digits than its factorization.

481642041972001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78640.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 481642041972001 in words is "four hundred eighty-one trillion, six hundred forty-two billion, forty-one million, nine hundred seventy-two thousand, one".