164626040040 has 256 divisors, whose sum is σ = 618974576640. Its totient is φ = 34028544000.

The previous prime is 164626040039. The next prime is 164626040071. The reversal of 164626040040 is 40040626461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 164626039983 and 164626040010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1718200 + ... + 1811480.

It is an arithmetic number, because the mean of its divisors is an integer number (2417869440).

Almost surely, 2^164626040040 is an apocalyptic number.

164626040040 is a gapful number since it is divisible by the number (10) 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 164626040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309487288320).

164626040040 is an abundant number, since it is smaller than the sum of its proper divisors (454348536600).

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

164626040040 is a wasteful number, since it uses less digits than its factorization.

164626040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93504 (or 93500 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 164626040040 in words is "one hundred sixty-four billion, six hundred twenty-six million, forty thousand, forty".