4007040308136 has 144 divisors (see below), whose sum is σ = 11359079664660. Its totient is φ = 1275994368000.

The previous prime is 4007040308107. The next prime is 4007040308279. The reversal of 4007040308136 is 6318030407004.

It can be written as a sum of positive squares in 2 ways, for example, as 3762009368100 + 245030940036 = 1939590^2 + 495006^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4007040308136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30290136 + ... + 30422136.

Almost surely, 2^{4007040308136} is an apocalyptic number.

4007040308136 is a gapful number since it is divisible by the number (46) 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 4007040308136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679539832330).

4007040308136 is an abundant number, since it is smaller than the sum of its proper divisors (7352039356524).

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

4007040308136 is a wasteful number, since it uses less digits than its factorization.

4007040308136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132856 (or 132826 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4007040308136 in words is "four trillion, seven billion, forty million, three hundred eight thousand, one hundred thirty-six".