4001200435001 has 64 divisors (see below), whose sum is σ = 5414208307200. Its totient is φ = 2863002542400.

The previous prime is 4001200434911. The next prime is 4001200435013. The reversal of 4001200435001 is 1005340021004.

It is not a de Polignac number, because 4001200435001 - 2¹⁴ = 4001200418617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4001200435091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7998320 + ... + 8483838.

It is an arithmetic number, because the mean of its divisors is an integer number (84597004800).

Almost surely, 2^{4001200435001} is an apocalyptic number.

It is an amenable number.

4001200435001 is a deficient number, since it is larger than the sum of its proper divisors (1413007872199).

4001200435001 is a wasteful number, since it uses less digits than its factorization.

4001200435001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485730.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 4001200435001 its reverse (1005340021004), we get a palindrome (5006540456005).

The spelling of 4001200435001 in words is "four trillion, one billion, two hundred million, four hundred thirty-five thousand, one".