142374478878720 has 1536 divisors, whose sum is σ = 580688936755200. Its totient is φ = 32770267545600.

The previous prime is 142374478878713. The next prime is 142374478878791. The reversal of 142374478878720 is 27878874473241.

142374478878720 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 7 + 4 + 478 + 87 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 127 ways as a sum of consecutive naturals, for example, 4996808794 + ... + 4996837286.

It is an arithmetic number, because the mean of its divisors is an integer number (378052693200).

Almost surely, 2^{142374478878720} is an apocalyptic number.

142374478878720 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 142374478878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290344468377600).

142374478878720 is an abundant number, since it is smaller than the sum of its proper divisors (438314457876480).

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

142374478878720 is a wasteful number, since it uses less digits than its factorization.

142374478878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28624 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 944111616, while the sum is 72.

The spelling of 142374478878720 in words is "one hundred forty-two trillion, three hundred seventy-four billion, four hundred seventy-eight million, eight hundred seventy-eight thousand, seven hundred twenty".