6138610830240 has 768 divisors, whose sum is σ = 24097786675200. Its totient is φ = 1281704067072.

The previous prime is 6138610830239. The next prime is 6138610830259. The reversal of 6138610830240 is 420380168316.

It is a super-3 number, since 3×6138610830240³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6138610830192 and 6138610830201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266224792 + ... + 266247848.

It is an arithmetic number, because the mean of its divisors is an integer number (31377326400).

Almost surely, 2^{6138610830240} is an apocalyptic number.

6138610830240 is a gapful number since it is divisible by the number (60) 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 6138610830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048893337600).

6138610830240 is an abundant number, since it is smaller than the sum of its proper divisors (17959175844960).

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

6138610830240 is a wasteful number, since it uses less digits than its factorization.

6138610830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23237 (or 23229 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

Adding to 6138610830240 its reverse (420380168316), we get a palindrome (6558990998556).

The spelling of 6138610830240 in words is "six trillion, one hundred thirty-eight billion, six hundred ten million, eight hundred thirty thousand, two hundred forty".