4380169457664 has 2080 divisors, whose sum is σ = 17876153729280. Its totient is φ = 1040555704320.

The previous prime is 4380169457593. The next prime is 4380169457731. The reversal of 4380169457664 is 4667549610834.

4380169457664 is a `hidden beast` number, since 43 + 8 + 0 + 16 + 9 + 4 + 576 + 6 + 4 = 666.

4380169457664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40185040842 + ... + 40185040950.

Almost surely, 2^{4380169457664} is an apocalyptic number.

4380169457664 is a gapful number since it is divisible by the number (44) 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 4380169457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938076864640).

4380169457664 is an abundant number, since it is smaller than the sum of its proper divisors (13495984271616).

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

4380169457664 is a wasteful number, since it uses less digits than its factorization.

4380169457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4380169457664 in words is "four trillion, three hundred eighty billion, one hundred sixty-nine million, four hundred fifty-seven thousand, six hundred sixty-four".