6141393360 has 120 divisors (see below), whose sum is σ = 20711011464. Its totient is φ = 1630863360.

The previous prime is 6141393341. The next prime is 6141393383. The reversal of 6141393360 is 633931416.

6141393360 is a `hidden beast` number, since 614 + 1 + 3 + 9 + 3 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3217612176 + 2923781184 = 56724^2 + 54072^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155824 + ... + 191216.

Almost surely, 2^6141393360 is an apocalyptic number.

6141393360 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 6141393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10355505732).

6141393360 is an abundant number, since it is smaller than the sum of its proper divisors (14569618104).

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

6141393360 is a wasteful number, since it uses less digits than its factorization.

6141393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35653 (or 35644 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6141393360 is about 78367.0425625467. The cubic root of 6141393360 is about 1831.2837360013.

The spelling of 6141393360 in words is "six billion, one hundred forty-one million, three hundred ninety-three thousand, three hundred sixty".