142024753347840 has 1440 divisors, whose sum is σ = 567760298434560. Its totient is φ = 33603965337600.

The previous prime is 142024753347823. The next prime is 142024753347863. The reversal of 142024753347840 is 48743357420241.

142024753347840 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 24 + 7 + 533 + 4 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20315366745 + ... + 20315373735.

It is an arithmetic number, because the mean of its divisors is an integer number (394277985024).

Almost surely, 2^{142024753347840} is an apocalyptic number.

142024753347840 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 142024753347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283880149217280).

142024753347840 is an abundant number, since it is smaller than the sum of its proper divisors (425735545086720).

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

142024753347840 is a wasteful number, since it uses less digits than its factorization.

142024753347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 142024753347840 in words is "one hundred forty-two trillion, twenty-four billion, seven hundred fifty-three million, three hundred forty-seven thousand, eight hundred forty".