4146289620480 has 3840 divisors, whose sum is σ = 19733114142720. Its totient is φ = 817496064000.

The previous prime is 4146289620467. The next prime is 4146289620547. The reversal of 4146289620480 is 840269826414.

It is a happy number.

4146289620480 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 2 + 8 + 9 + 620 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41052372430 + ... + 41052372530.

It is an arithmetic number, because the mean of its divisors is an integer number (5138831808).

Almost surely, 2^{4146289620480} is an apocalyptic number.

4146289620480 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 4146289620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9866557071360).

4146289620480 is an abundant number, since it is smaller than the sum of its proper divisors (15586824522240).

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

4146289620480 is a wasteful number, since it uses less digits than its factorization.

4146289620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 4146289620480 in words is "four trillion, one hundred forty-six billion, two hundred eighty-nine million, six hundred twenty thousand, four hundred eighty".