400000000000004 has 48 divisors (see below), whose sum is σ = 733910137758000. Its totient is φ = 190511134464000.

The previous prime is 399999999999997. The next prime is 400000000000063.

It is a happy number.

400000000000004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 192118450062400 + 207881549937604 = 13860680^2 + 14418098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 399999999999883 and 400000000000000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57457529 + ... + 64041920.

It is an arithmetic number, because the mean of its divisors is an integer number (15289794536625).

Almost surely, 2^{400000000000004} is an apocalyptic number.

It is an amenable number.

400000000000004 is a deficient number, since it is larger than the sum of its proper divisors (333910137757996).

400000000000004 is a wasteful number, since it uses less digits than its factorization.

400000000000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121499864 (or 121499862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

It can be divided in two parts, 40000000000000 and 4, that added together give a palindrome (40000000000004).

The spelling of 400000000000004 in words is "four hundred trillion, four", and thus it is an aban number.