6042390566400 has 960 divisors, whose sum is σ = 23774916432960. Its totient is φ = 1516402114560.

The previous prime is 6042390566393. The next prime is 6042390566419. The reversal of 6042390566400 is 46650932406.

6042390566400 is a `hidden beast` number, since 6 + 0 + 4 + 239 + 0 + 5 + 6 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475884852 + ... + 475897548.

It is an arithmetic number, because the mean of its divisors is an integer number (24765537951).

Almost surely, 2^{6042390566400} is an apocalyptic number.

6042390566400 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 6042390566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887458216480).

6042390566400 is an abundant number, since it is smaller than the sum of its proper divisors (17732525866560).

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

6042390566400 is an equidigital number, since it uses as much as digits as its factorization.

6042390566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6042390566400 in words is "six trillion, forty-two billion, three hundred ninety million, five hundred sixty-six thousand, four hundred".