164029251040 has 48 divisors (see below), whose sum is σ = 396970806960. Its totient is φ = 64011412480.

The previous prime is 164029251017. The next prime is 164029251083. The reversal of 164029251040 is 40152920461.

It is a junction number, because it is equal to n+sod(n) for n = 164029250987 and 164029251005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12495670 + ... + 12508789.

It is an arithmetic number, because the mean of its divisors is an integer number (8270225145).

Almost surely, 2^164029251040 is an apocalyptic number.

164029251040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164029251040 is an abundant number, since it is smaller than the sum of its proper divisors (232941555920).

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

164029251040 is a wasteful number, since it uses less digits than its factorization.

164029251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25004515 (or 25004507 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 164029251040 in words is "one hundred sixty-four billion, twenty-nine million, two hundred fifty-one thousand, forty".