342143781396480 has 1344 divisors, whose sum is σ = 1472830546636800. Its totient is φ = 71698014535680.

The previous prime is 342143781396409. The next prime is 342143781396491. The reversal of 342143781396480 is 84693187341243.

342143781396480 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 43 + 7 + 81 + 39 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1519790166 + ... + 1520015274.

Almost surely, 2^{342143781396480} is an apocalyptic number.

342143781396480 is a gapful number since it is divisible by the number (30) 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 342143781396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736415273318400).

342143781396480 is an abundant number, since it is smaller than the sum of its proper divisors (1130686765240320).

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

342143781396480 is a wasteful number, since it uses less digits than its factorization.

342143781396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225203 (or 225176 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 342143781396480 in words is "three hundred forty-two trillion, one hundred forty-three billion, seven hundred eighty-one million, three hundred ninety-six thousand, four hundred eighty".