4000010040 has 320 divisors, whose sum is σ = 15111835200. Its totient is φ = 941580288.

The previous prime is 4000010009. The next prime is 4000010041. The reversal of 4000010040 is 400100004.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000010041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 966696 + ... + 970824.

It is an arithmetic number, because the mean of its divisors is an integer number (47224485).

Almost surely, 2^4000010040 is an apocalyptic number.

4000010040 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 4000010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555917600).

4000010040 is an abundant number, since it is smaller than the sum of its proper divisors (11111825160).

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

4000010040 is a wasteful number, since it uses less digits than its factorization.

4000010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4175 counting only the distinct ones).

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

The square root of 4000010040 is about 63245.6325764871. The cubic root of 4000010040 is about 1587.4023800926.

Adding to 4000010040 its reverse (400100004), we get a palindrome (4400110044).

The spelling of 4000010040 in words is "four billion, ten thousand, forty".