13422024000 has 1120 divisors, whose sum is σ = 62136771840. Its totient is φ = 2778624000.

The previous prime is 13422023983. The next prime is 13422024017. The reversal of 13422024000 is 42022431.

13422024000 is a `hidden beast` number, since 1 + 3 + 422 + 0 + 240 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13422023983) and next prime (13422024017).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49895866 + ... + 49896134.

Almost surely, 2^13422024000 is an apocalyptic number.

13422024000 is a gapful number since it is divisible by the number (10) 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 13422024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31068385920).

13422024000 is an abundant number, since it is smaller than the sum of its proper divisors (48714747840).

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

13422024000 is a wasteful number, since it uses less digits than its factorization.

13422024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13422024000 its reverse (42022431), we get a palindrome (13464046431).

The spelling of 13422024000 in words is "thirteen billion, four hundred twenty-two million, twenty-four thousand".