66144332040540 has 384 divisors, whose sum is σ = 209579316731904. Its totient is φ = 15474488832000.

The previous prime is 66144332040533. The next prime is 66144332040551. The reversal of 66144332040540 is 4504023344166.

It is a super-2 number, since 2×66144332040540² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66144332040492 and 66144332040501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 974927859 + ... + 974995701.

It is an arithmetic number, because the mean of its divisors is an integer number (545779470656).

Almost surely, 2^{66144332040540} is an apocalyptic number.

66144332040540 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 66144332040540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104789658365952).

66144332040540 is an abundant number, since it is smaller than the sum of its proper divisors (143434984691364).

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

66144332040540 is a wasteful number, since it uses less digits than its factorization.

66144332040540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68621 (or 68619 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 66144332040540 in words is "sixty-six trillion, one hundred forty-four billion, three hundred thirty-two million, forty thousand, five hundred forty".