40040000 has 280 divisors, whose sum is σ = 133307328. Its totient is φ = 11520000.

The previous prime is 40039999. The next prime is 40040017. The reversal of 40040000 is 4004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

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 a self number, because there is not a number n which added to its sum of digits gives 40040000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3079994 + ... + 3080006.

Almost surely, 2^40040000 is an apocalyptic number.

40040000 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 40040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66653664).

40040000 is an abundant number, since it is smaller than the sum of its proper divisors (93267328).

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

40040000 is a wasteful number, since it uses less digits than its factorization.

40040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

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

The square root of 40040000 is about 6327.7168078225. The cubic root of 40040000 is about 342.1091497534.

Adding to 40040000 its reverse (4004), we get a palindrome (40044004).

Multiplying 40040000 by its reverse (4004), we get a square (160320160000 = 400400²).

40040000 divided by its reverse (4004) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 400 and 40000, that multiplied together give a square (16000000 = 4000²).

The spelling of 40040000 in words is "forty million, forty thousand", and thus it is an eban number.