4002400040 has 16 divisors (see below), whose sum is σ = 9005400180. Its totient is φ = 1600960000.

The previous prime is 4002400019. The next prime is 4002400079. The reversal of 4002400040 is 400042004.

It can be written as a sum of positive squares in 2 ways, for example, as 3648884836 + 353515204 = 60406^2 + 18802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002399988 and 4002400024.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50029961 + ... + 50030040.

Almost surely, 2^4002400040 is an apocalyptic number.

4002400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002400040 is an abundant number, since it is smaller than the sum of its proper divisors (5003000140).

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

4002400040 is a wasteful number, since it uses less digits than its factorization.

4002400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100060012 (or 100060008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4002400040 is about 63264.5243402651. The cubic root of 4002400040 is about 1587.7184739929.

Adding to 4002400040 its reverse (400042004), we get a palindrome (4402442044).

The spelling of 4002400040 in words is "four billion, two million, four hundred thousand, forty".