142141038480 has 960 divisors, whose sum is σ = 584962560000. Its totient is φ = 30877507584.

The previous prime is 142141038463. The next prime is 142141038527. The reversal of 142141038480 is 84830141241.

It is a happy number.

142141038480 is a `hidden beast` number, since 1 + 4 + 2 + 141 + 0 + 38 + 480 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 637403649 + ... + 637403871.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2^142141038480 is an apocalyptic number.

142141038480 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 142141038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280000).

142141038480 is an abundant number, since it is smaller than the sum of its proper divisors (442821521520).

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

142141038480 is a wasteful number, since it uses less digits than its factorization.

142141038480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 142141038480 in words is "one hundred forty-two billion, one hundred forty-one million, thirty-eight thousand, four hundred eighty".