6141004800 has 264 divisors, whose sum is σ = 23197848576. Its totient is φ = 1403535360.

The previous prime is 6141004789. The next prime is 6141004813. The reversal of 6141004800 is 84001416.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 531889 + ... + 543311.

Almost surely, 2^6141004800 is an apocalyptic number.

6141004800 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 6141004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11598924288).

6141004800 is an abundant number, since it is smaller than the sum of its proper divisors (17056843776).

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

6141004800 is a wasteful number, since it uses less digits than its factorization.

6141004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11463 (or 11440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 6141004800 is about 78364.5634199540. The cubic root of 6141004800 is about 1831.2451140050.

The spelling of 6141004800 in words is "six billion, one hundred forty-one million, four thousand, eight hundred".