164208542940 has 288 divisors, whose sum is σ = 545586402816. Its totient is φ = 39734392320.

The previous prime is 164208542923. The next prime is 164208542977. The reversal of 164208542940 is 49245802461.

It is a happy number.

164208542940 is a `hidden beast` number, since 1 + 64 + 2 + 0 + 8 + 542 + 9 + 40 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40978417 + ... + 40982423.

It is an arithmetic number, because the mean of its divisors is an integer number (1894397232).

Almost surely, 2^164208542940 is an apocalyptic number.

164208542940 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 164208542940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272793201408).

164208542940 is an abundant number, since it is smaller than the sum of its proper divisors (381377859876).

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

164208542940 is a wasteful number, since it uses less digits than its factorization.

164208542940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 164208542940 in words is "one hundred sixty-four billion, two hundred eight million, five hundred forty-two thousand, nine hundred forty".