142111353310400 has 336 divisors, whose sum is σ = 375913799352000. Its totient is φ = 52688417587200.

The previous prime is 142111353310397. The next prime is 142111353310403. The reversal of 142111353310400 is 4013353111241.

It is an interprime number because it is at equal distance from previous prime (142111353310397) and next prime (142111353310403).

It is not an unprimeable number, because it can be changed into a prime (142111353310403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506949476 + ... + 507229724.

It is an arithmetic number, because the mean of its divisors is an integer number (1118791069500).

Almost surely, 2^{142111353310400} is an apocalyptic number.

142111353310400 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 142111353310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187956899676000).

142111353310400 is an abundant number, since it is smaller than the sum of its proper divisors (233802446041600).

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

142111353310400 is a wasteful number, since it uses less digits than its factorization.

142111353310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280572 (or 280557 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 142111353310400 in words is "one hundred forty-two trillion, one hundred eleven billion, three hundred fifty-three million, three hundred ten thousand, four hundred".