40002400035 has 192 divisors, whose sum is σ = 80877678336. Its totient is φ = 18114969600.

The previous prime is 40002400021. The next prime is 40002400037. The reversal of 40002400035 is 53000420004.

It is a happy number.

It is a Cunningham number, because it is equal to 200006²-1.

It is not a de Polignac number, because 40002400035 - 2⁵ = 40002400003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40002399990 and 40002400017.

It is not an unprimeable number, because it can be changed into a prime (40002400037) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127803039 + ... + 127803351.

It is an arithmetic number, because the mean of its divisors is an integer number (421237908).

Almost surely, 2^40002400035 is an apocalyptic number.

40002400035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40002400035 is an abundant number, since it is smaller than the sum of its proper divisors (40875278301).

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

40002400035 is a wasteful number, since it uses less digits than its factorization.

40002400035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 40002400035 its reverse (53000420004), we get a palindrome (93002820039).

The spelling of 40002400035 in words is "forty billion, two million, four hundred thousand, thirty-five".