164040041256030 has 48 divisors (see below), whose sum is σ = 427875503181984. Its totient is φ = 43603355010240.

The previous prime is 164040041256029. The next prime is 164040041256031. The reversal of 164040041256030 is 30652140040461.

164040041256030 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 4 + 0 + 0 + 41 + 2 + 5 + 603 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164040041256029) and next prime (164040041256031).

It is a super-2 number, since 2×164040041256030² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164040041256031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2930305009 + ... + 2930360988.

It is an arithmetic number, because the mean of its divisors is an integer number (8914072982958).

Almost surely, 2^{164040041256030} is an apocalyptic number.

164040041256030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164040041256030 is an abundant number, since it is smaller than the sum of its proper divisors (263835461925954).

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

164040041256030 is a wasteful number, since it uses less digits than its factorization.

164040041256030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860666321 (or 5860666318 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 164040041256030 its reverse (30652140040461), we get a palindrome (194692181296491).

The spelling of 164040041256030 in words is "one hundred sixty-four trillion, forty billion, forty-one million, two hundred fifty-six thousand, thirty".