4138259673600 has 1440 divisors, whose sum is σ = 16860390490944. Its totient is φ = 998911180800.

The previous prime is 4138259673589. The next prime is 4138259673601. The reversal of 4138259673600 is 63769528314.

4138259673600 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 25 + 9 + 6 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×4138259673600² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4138259673601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2143064635 + ... + 2143066565.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4138259673600 = 8276519347200, but 3⋅4138259673600 = 12414779020800 is not.

Almost surely, 2^{4138259673600} is an apocalyptic number.

4138259673600 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 4138259673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430195245472).

4138259673600 is an abundant number, since it is smaller than the sum of its proper divisors (12722130817344).

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

4138259673600 is a wasteful number, since it uses less digits than its factorization.

4138259673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4138259673600 in words is "four trillion, one hundred thirty-eight billion, two hundred fifty-nine million, six hundred seventy-three thousand, six hundred".