142801199424 has 448 divisors, whose sum is σ = 476724756480. Its totient is φ = 41607198720.

The previous prime is 142801199383. The next prime is 142801199447. The reversal of 142801199424 is 424991108241.

142801199424 is a `hidden beast` number, since 1 + 428 + 0 + 119 + 94 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142801199424.

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 63 ways as a sum of consecutive naturals, for example, 32727867 + ... + 32732229.

It is an arithmetic number, because the mean of its divisors is an integer number (1064117760).

Almost surely, 2^142801199424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142801199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238362378240).

142801199424 is an abundant number, since it is smaller than the sum of its proper divisors (333923557056).

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

142801199424 is a wasteful number, since it uses less digits than its factorization.

142801199424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 142801 and 199424, that added together give a square (342225 = 585²).

The spelling of 142801199424 in words is "one hundred forty-two billion, eight hundred one million, one hundred ninety-nine thousand, four hundred twenty-four".