4102400001 has 48 divisors (see below), whose sum is σ = 6595784640. Its totient is φ = 2258766720.

The previous prime is 4102399957. The next prime is 4102400023. The reversal of 4102400001 is 1000042014.

It is not a de Polignac number, because 4102400001 - 2⁶ = 4102399937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4102400001.

It is not an unprimeable number, because it can be changed into a prime (4102400041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3866011 + ... + 3867071.

It is an arithmetic number, because the mean of its divisors is an integer number (137412180).

Almost surely, 2^4102400001 is an apocalyptic number.

It is an amenable number.

4102400001 is a deficient number, since it is larger than the sum of its proper divisors (2493384639).

4102400001 is a wasteful number, since it uses less digits than its factorization.

4102400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4102400001 is about 64049.9804918003. The cubic root of 4102400001 is about 1600.8328998120.

Adding to 4102400001 its reverse (1000042014), we get a palindrome (5102442015).

The spelling of 4102400001 in words is "four billion, one hundred two million, four hundred thousand, one".