142414353504 has 288 divisors, whose sum is σ = 448037684640. Its totient is φ = 42706944000.

The previous prime is 142414353481. The next prime is 142414353511. The reversal of 142414353504 is 405353414241.

142414353504 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 143 + 5 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14335419 + ... + 14345349.

It is an arithmetic number, because the mean of its divisors is an integer number (1555686405).

Almost surely, 2^142414353504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142414353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224018842320).

142414353504 is an abundant number, since it is smaller than the sum of its proper divisors (305623331136).

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

142414353504 is a wasteful number, since it uses less digits than its factorization.

142414353504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 142414353504 its reverse (405353414241), we get a palindrome (547767767745).

The spelling of 142414353504 in words is "one hundred forty-two billion, four hundred fourteen million, three hundred fifty-three thousand, five hundred four".