4259213876160 has 392 divisors, whose sum is σ = 15213776660016. Its totient is φ = 1135241256960.

The previous prime is 4259213876153. The next prime is 4259213876171. The reversal of 4259213876160 is 616783129524.

It is a happy number.

4259213876160 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 2 + 13 + 8 + 7 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4259213876097 and 4259213876106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 771454200 + ... + 771459720.

It is a 1-persistent number, because it is pandigital, but 2⋅4259213876160 = 8518427752320 is not.

Almost surely, 2^{4259213876160} is an apocalyptic number.

4259213876160 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 4259213876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606888330008).

4259213876160 is an abundant number, since it is smaller than the sum of its proper divisors (10954562783856).

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

4259213876160 is an equidigital number, since it uses as much as digits as its factorization.

4259213876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4259213876160 in words is "four trillion, two hundred fifty-nine billion, two hundred thirteen million, eight hundred seventy-six thousand, one hundred sixty".