6141169440 has 384 divisors, whose sum is σ = 25360957440. Its totient is φ = 1358208000.

The previous prime is 6141169439. The next prime is 6141169459. The reversal of 6141169440 is 449611416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6141169395 and 6141169404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934165 + ... + 940715.

It is an arithmetic number, because the mean of its divisors is an integer number (66044160).

Almost surely, 2^6141169440 is an apocalyptic number.

6141169440 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 6141169440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680478720).

6141169440 is an abundant number, since it is smaller than the sum of its proper divisors (19219788000).

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

6141169440 is a wasteful number, since it uses less digits than its factorization.

6141169440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6141169440 is about 78365.6138877250. The cubic root of 6141169440 is about 1831.2614790522.

The spelling of 6141169440 in words is "six billion, one hundred forty-one million, one hundred sixty-nine thousand, four hundred forty".