4008400840 has 64 divisors (see below), whose sum is σ = 9130287600. Its totient is φ = 1583628288.

The previous prime is 4008400813. The next prime is 4008400849. The reversal of 4008400840 is 480048004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2782140516 + 1226260324 = 52746^2 + 35018^2 .

It is a super-2 number, since 2×4008400840² = 32134554588225411200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4008400799 and 4008400808.

It is not an unprimeable number, because it can be changed into a prime (4008400849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3138282 + ... + 3139558.

Almost surely, 2^4008400840 is an apocalyptic number.

4008400840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008400840 is an abundant number, since it is smaller than the sum of its proper divisors (5121886760).

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

4008400840 is a wasteful number, since it uses less digits than its factorization.

4008400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4008400840 is about 63311.9328405001. The cubic root of 4008400840 is about 1588.5115667470.

Adding to 4008400840 its reverse (480048004), we get a palindrome (4488448844).

The spelling of 4008400840 in words is "four billion, eight million, four hundred thousand, eight hundred forty".