142322019840 has 2560 divisors, whose sum is σ = 724633620480. Its totient is φ = 25692733440.

The previous prime is 142322019839. The next prime is 142322019841. The reversal of 142322019840 is 48910223241.

142322019840 is a `hidden beast` number, since 1 + 423 + 2 + 2 + 0 + 198 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (142322019839) and next prime (142322019841).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142322019795 and 142322019804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142322019841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8371883512 + ... + 8371883528.

It is an arithmetic number, because the mean of its divisors is an integer number (283060008).

Almost surely, 2^142322019840 is an apocalyptic number.

142322019840 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 142322019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362316810240).

142322019840 is an abundant number, since it is smaller than the sum of its proper divisors (582311600640).

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

142322019840 is a wasteful number, since it uses less digits than its factorization.

142322019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142322019840 in words is "one hundred forty-two billion, three hundred twenty-two million, nineteen thousand, eight hundred forty".