4000404000 has 96 divisors (see below), whose sum is σ = 13105362816. Its totient is φ = 1066771200.

The previous prime is 4000403983. The next prime is 4000404019. The reversal of 4000404000 is 4040004.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 154684 + ... + 178683.

It is an arithmetic number, because the mean of its divisors is an integer number (136514196).

Almost surely, 2^4000404000 is an apocalyptic number.

4000404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000404000 is an abundant number, since it is smaller than the sum of its proper divisors (9104958816).

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

4000404000 is a wasteful number, since it uses less digits than its factorization.

4000404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333395 (or 333377 counting only the distinct ones).

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

The square root of 4000404000 is about 63248.7470231624. The cubic root of 4000404000 is about 1587.4544926712.

Adding to 4000404000 its reverse (4040004), we get a palindrome (4004444004).

The spelling of 4000404000 in words is "four billion, four hundred four thousand".