40004000 has 96 divisors (see below), whose sum is σ = 100363536. Its totient is φ = 15667200.

The previous prime is 40003991. The next prime is 40004011. The reversal of 40004000 is 40004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2598544 + 37405456 = 1612^2 + 6116^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 291932 + ... + 292068.

Almost surely, 2^40004000 is an apocalyptic number.

40004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181768).

40004000 is an abundant number, since it is smaller than the sum of its proper divisors (60359536).

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

40004000 is a wasteful number, since it uses less digits than its factorization.

40004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

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

The square root of 40004000 is about 6324.8715401975. The cubic root of 40004000 is about 342.0065887950.

Adding to 40004000 its reverse (40004), we get a palindrome (40044004).

40004000 divided by its reverse (40004) gives a cube (1000 = 10³).

It can be divided in two parts, 4000 and 4000, that added together give a cube (8000 = 20³).

The spelling of 40004000 in words is "forty million, four thousand", and thus it is an eban number.