4001012765001 has 24 divisors (see below), whose sum is σ = 6849470415424. Its totient is φ = 2286293007600.

The previous prime is 4001012764967. The next prime is 4001012765021. The reversal of 4001012765001 is 1005672101004.

It is a happy number.

4001012765001 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 0 + 1 + 2 + 7 + 650 + 0 + 1 = 666.

It is not a de Polignac number, because 4001012765001 - 2⁶ = 4001012764937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4001012765021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176074950 + ... + 1176078351.

Almost surely, 2^{4001012765001} is an apocalyptic number.

It is an amenable number.

4001012765001 is a deficient number, since it is larger than the sum of its proper divisors (2848457650423).

4001012765001 is an equidigital number, since it uses as much as digits as its factorization.

4001012765001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352153323 (or 2352153311 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 4001012765001 its reverse (1005672101004), we get a palindrome (5006684866005).

The spelling of 4001012765001 in words is "four trillion, one billion, twelve million, seven hundred sixty-five thousand, one".