3418672050040 has 128 divisors (see below), whose sum is σ = 8433727464960. Its totient is φ = 1239600628224.

The previous prime is 3418672049983. The next prime is 3418672050047. The reversal of 3418672050040 is 400502768143.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3418672049975 and 3418672050002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418672050047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6970567 + ... + 7444873.

It is an arithmetic number, because the mean of its divisors is an integer number (65888495820).

Almost surely, 2^{3418672050040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3418672050040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216863732480).

3418672050040 is an abundant number, since it is smaller than the sum of its proper divisors (5015055414920).

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

3418672050040 is a wasteful number, since it uses less digits than its factorization.

3418672050040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474581 (or 474577 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 3418672050040 in words is "three trillion, four hundred eighteen billion, six hundred seventy-two million, fifty thousand, forty".