66141179400 has 96 divisors (see below), whose sum is σ = 205245167040. Its totient is φ = 17619797760.

The previous prime is 66141179359. The next prime is 66141179431. The reversal of 66141179400 is 497114166.

It is a super-2 number, since 2×66141179400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542917 + ... + 653483.

It is an arithmetic number, because the mean of its divisors is an integer number (2137970490).

Almost surely, 2^66141179400 is an apocalyptic number.

66141179400 is a gapful number since it is divisible by the number (60) 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 66141179400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102622583520).

66141179400 is an abundant number, since it is smaller than the sum of its proper divisors (139103987640).

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

66141179400 is a wasteful number, since it uses less digits than its factorization.

66141179400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111583 (or 111574 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 66141179400 in words is "sixty-six billion, one hundred forty-one million, one hundred seventy-nine thousand, four hundred".