3416036360040 has 48 divisors (see below), whose sum is σ = 11102118171300. Its totient is φ = 910943029248.

The previous prime is 3416036359963. The next prime is 3416036360059. The reversal of 3416036360040 is 400636306143.

3416036360040 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 0 + 3 + 6 + 3 + 600 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3263781880836 + 152254479204 = 1806594^2 + 390198^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3416036359977 and 3416036360004.

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 11 ways as a sum of consecutive naturals, for example, 4744494585 + ... + 4744495304.

Almost surely, 2^{3416036360040} is an apocalyptic number.

3416036360040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3416036360040 is an abundant number, since it is smaller than the sum of its proper divisors (7686081811260).

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

3416036360040 is a wasteful number, since it uses less digits than its factorization.

3416036360040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9488989906 (or 9488989899 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 3416036360040 in words is "three trillion, four hundred sixteen billion, thirty-six million, three hundred sixty thousand, forty".