142414015354240 has 128 divisors (see below), whose sum is σ = 394902830188800. Its totient is φ = 48098891225088.

The previous prime is 142414015354211. The next prime is 142414015354279. The reversal of 142414015354240 is 42453510414241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 142414015354193 and 142414015354202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236930010 + ... + 237530329.

It is an arithmetic number, because the mean of its divisors is an integer number (3085178360850).

Almost surely, 2^{142414015354240} is an apocalyptic number.

142414015354240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142414015354240 is an abundant number, since it is smaller than the sum of its proper divisors (252488814834560).

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

142414015354240 is an equidigital number, since it uses as much as digits as its factorization.

142414015354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474460432 (or 474460420 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 142414015354240 its reverse (42453510414241), we get a palindrome (184867525768481).

The spelling of 142414015354240 in words is "one hundred forty-two trillion, four hundred fourteen billion, fifteen million, three hundred fifty-four thousand, two hundred forty".