4042046200320 has 240 divisors, whose sum is σ = 14043779747712. Its totient is φ = 1074411233280.

The previous prime is 4042046200307. The next prime is 4042046200351. The reversal of 4042046200320 is 230026402404.

4042046200320 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 0 + 4 + 620 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6883389 + ... + 7447491.

Almost surely, 2^{4042046200320} is an apocalyptic number.

4042046200320 is a gapful number since it is divisible by the number (40) 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 4042046200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021889873856).

4042046200320 is an abundant number, since it is smaller than the sum of its proper divisors (10001733547392).

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

4042046200320 is a wasteful number, since it uses less digits than its factorization.

4042046200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564443 (or 564424 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 4042046200320 in words is "four trillion, forty-two billion, forty-six million, two hundred thousand, three hundred twenty".