4022493696000 has 1456 divisors, whose sum is σ = 16228852545360. Its totient is φ = 988957900800.

The previous prime is 4022493695999. The next prime is 4022493696031. The reversal of 4022493696000 is 6963942204.

4022493696000 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 4 + 9 + 36 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1920596852736 + 2101896843264 = 1385856^2 + 1449792^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4852223586 + ... + 4852224414.

It is an arithmetic number, because the mean of its divisors is an integer number (11146189935).

Almost surely, 2^{4022493696000} is an apocalyptic number.

4022493696000 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 4022493696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114426272680).

4022493696000 is an abundant number, since it is smaller than the sum of its proper divisors (12206358849360).

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

4022493696000 is an frugal number, since it uses more digits than its factorization.

4022493696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4022493696000 in words is "four trillion, twenty-two billion, four hundred ninety-three million, six hundred ninety-six thousand".