40104000 has 168 divisors, whose sum is σ = 143716248. Its totient is φ = 10675200.

The previous prime is 40103983. The next prime is 40104007. The reversal of 40104000 is 40104.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 32353344 = 2784^2 + 5688^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is not an unprimeable number, because it can be changed into a prime (40104007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71722 + ... + 72278.

Almost surely, 2^40104000 is an apocalyptic number.

40104000 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 40104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71858124).

40104000 is an abundant number, since it is smaller than the sum of its proper divisors (103612248).

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

40104000 is a wasteful number, since it uses less digits than its factorization.

40104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40104000 is about 6332.7719049402. The cubic root of 40104000 is about 342.2913286601.

Adding to 40104000 its reverse (40104), we get a palindrome (40144104).

40104000 divided by its reverse (40104) gives a cube (1000 = 10³).

The spelling of 40104000 in words is "forty million, one hundred four thousand".