142406151311430 has 96 divisors (see below), whose sum is σ = 377340732437760. Its totient is φ = 37248709006080.

The previous prime is 142406151311401. The next prime is 142406151311527. The reversal of 142406151311430 is 34113151604241.

142406151311430 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 615 + 1 + 3 + 1 + 1 + 4 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14319531 + ... + 22132809.

It is an arithmetic number, because the mean of its divisors is an integer number (3930632629560).

Almost surely, 2^{142406151311430} is an apocalyptic number.

142406151311430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142406151311430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188670366218880).

142406151311430 is an abundant number, since it is smaller than the sum of its proper divisors (234934581126330).

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

142406151311430 is a wasteful number, since it uses less digits than its factorization.

142406151311430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817166 (or 7817163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 142406151311430 in words is "one hundred forty-two trillion, four hundred six billion, one hundred fifty-one million, three hundred eleven thousand, four hundred thirty".