66471319142400 has 384 divisors, whose sum is σ = 225156339853200. Its totient is φ = 17293325107200.

The previous prime is 66471319142381. The next prime is 66471319142407. The reversal of 66471319142400 is 424191317466.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66471319142400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66471319142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100431756 + ... + 101091444.

Almost surely, 2^{66471319142400} is an apocalyptic number.

66471319142400 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 66471319142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112578169926600).

66471319142400 is an abundant number, since it is smaller than the sum of its proper divisors (158685020710800).

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

66471319142400 is an equidigital number, since it uses as much as digits as its factorization.

66471319142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659773 (or 659740 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 66471319142400 in words is "sixty-six trillion, four hundred seventy-one billion, three hundred nineteen million, one hundred forty-two thousand, four hundred".