4000400401 has 4 divisors (see below), whose sum is σ = 4029180400. Its totient is φ = 3971620404.

The previous prime is 4000400329. The next prime is 4000400449. The reversal of 4000400401 is 1040040004.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4000400401 - 2¹⁵ = 4000367633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000400491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14389791 + ... + 14390068.

It is an arithmetic number, because the mean of its divisors is an integer number (1007295100).

Almost surely, 2^4000400401 is an apocalyptic number.

It is an amenable number.

4000400401 is a deficient number, since it is larger than the sum of its proper divisors (28779999).

4000400401 is a wasteful number, since it uses less digits than its factorization.

4000400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28779998.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4000400401 is about 63248.7185719995. The cubic root of 4000400401 is about 1587.4540166150.

Adding to 4000400401 its reverse (1040040004), we get a palindrome (5040440405).

The spelling of 4000400401 in words is "four billion, four hundred thousand, four hundred one".