4000400004 has 24 divisors (see below), whose sum is σ = 9335521440. Its totient is φ = 1333287424.

The previous prime is 4000399981. The next prime is 4000400023. The reversal of 4000400004 is 4000040004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95332 + ... + 130724.

It is an arithmetic number, because the mean of its divisors is an integer number (388980060).

Almost surely, 2^4000400004 is an apocalyptic number.

It is an amenable number.

4000400004 is an abundant number, since it is smaller than the sum of its proper divisors (5335121436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000400004 is a wasteful number, since it uses less digits than its factorization.

4000400004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44819 (or 44817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4000400004 is about 63248.7154335960. The cubic root of 4000400004 is about 1587.4539641020.

Adding to 4000400004 its reverse (4000040004), we get a palindrome (8000440008).

Subtracting from 4000400004 its reverse (4000040004), we obtain a square (360000 = 600²).

It can be divided in two parts, 400040000 and 4, that added together give a palindrome (400040004).

The spelling of 4000400004 in words is "four billion, four hundred thousand, four".