164140410000 has 400 divisors, whose sum is σ = 611009714304. Its totient is φ = 37180416000.

The previous prime is 164140409977. The next prime is 164140410017. The reversal of 164140410000 is 14041461.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23726542 + ... + 23733458.

Almost surely, 2^164140410000 is an apocalyptic number.

164140410000 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 164140410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305504857152).

164140410000 is an abundant number, since it is smaller than the sum of its proper divisors (446869304304).

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

164140410000 is a wasteful number, since it uses less digits than its factorization.

164140410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 164140410000 its reverse (14041461), we get a palindrome (164154451461).

The spelling of 164140410000 in words is "one hundred sixty-four billion, one hundred forty million, four hundred ten thousand".