418106820040 has 128 divisors (see below), whose sum is σ = 1159242658560. Its totient is φ = 132162960384.

The previous prime is 418106820029. The next prime is 418106820049. The reversal of 418106820040 is 40028601814.

It is a junction number, because it is equal to n+sod(n) for n = 418106819978 and 418106820005.

It is not an unprimeable number, because it can be changed into a prime (418106820049) 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, 2940834 + ... + 3079726.

It is an arithmetic number, because the mean of its divisors is an integer number (9056583270).

Almost surely, 2^418106820040 is an apocalyptic number.

418106820040 is a gapful number since it is divisible by the number (40) 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 418106820040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579621329280).

418106820040 is an abundant number, since it is smaller than the sum of its proper divisors (741135838520).

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

418106820040 is a wasteful number, since it uses less digits than its factorization.

418106820040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139751 (or 139747 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 418106820040 in words is "four hundred eighteen billion, one hundred six million, eight hundred twenty thousand, forty".