4166592052480 has 576 divisors, whose sum is σ = 11899150905600. Its totient is φ = 1377970421760.

The previous prime is 4166592052459. The next prime is 4166592052537. The reversal of 4166592052480 is 842502956614.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4485028656 + ... + 4485029584.

It is an arithmetic number, because the mean of its divisors is an integer number (20658248100).

Almost surely, 2^{4166592052480} is an apocalyptic number.

4166592052480 is a gapful number since it is divisible by the number (40) 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 4166592052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949575452800).

4166592052480 is an abundant number, since it is smaller than the sum of its proper divisors (7732558853120).

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

4166592052480 is a wasteful number, since it uses less digits than its factorization.

4166592052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 4166592052480 in words is "four trillion, one hundred sixty-six billion, five hundred ninety-two million, fifty-two thousand, four hundred eighty".