142039941120 has 1280 divisors, whose sum is σ = 639453830400. Its totient is φ = 29302456320.

The previous prime is 142039941097. The next prime is 142039941139. The reversal of 142039941120 is 21149930241.

142039941120 is a `hidden beast` number, since 1 + 420 + 39 + 94 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1021870011 + ... + 1021870149.

It is an arithmetic number, because the mean of its divisors is an integer number (499573305).

Almost surely, 2^142039941120 is an apocalyptic number.

142039941120 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 142039941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319726915200).

142039941120 is an abundant number, since it is smaller than the sum of its proper divisors (497413889280).

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

142039941120 is an equidigital number, since it uses as much as digits as its factorization.

142039941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 142039941120 in words is "one hundred forty-two billion, thirty-nine million, nine hundred forty-one thousand, one hundred twenty".