6041721862800 has 2400 divisors, whose sum is σ = 25551531125120. Its totient is φ = 1354442342400.

The previous prime is 6041721862793. The next prime is 6041721862853. The reversal of 6041721862800 is 82681271406.

6041721862800 is a `hidden beast` number, since 6 + 0 + 4 + 1 + 7 + 2 + 18 + 628 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33379678710 + ... + 33379678890.

Almost surely, 2^{6041721862800} is an apocalyptic number.

6041721862800 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 6041721862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775765562560).

6041721862800 is an abundant number, since it is smaller than the sum of its proper divisors (19509809262320).

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

6041721862800 is a wasteful number, since it uses less digits than its factorization.

6041721862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 6041721862800 in words is "six trillion, forty-one billion, seven hundred twenty-one million, eight hundred sixty-two thousand, eight hundred".