4201002001024 has 32 divisors (see below), whose sum is σ = 8369369965440. Its totient is φ = 2100454245120.

The previous prime is 4201002001019. The next prime is 4201002001109.

4201002001024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4201002000989 and 4201002001007.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5814417 + ... + 6496879.

It is an arithmetic number, because the mean of its divisors is an integer number (261542811420).

Almost surely, 2^{4201002001024} is an apocalyptic number.

It is an amenable number.

4201002001024 is a deficient number, since it is larger than the sum of its proper divisors (4168367964416).

4201002001024 is an equidigital number, since it uses as much as digits as its factorization.

4201002001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730568 (or 730556 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 4201002001024 in words is "four trillion, two hundred one billion, two million, one thousand, twenty-four".