342981127104 has 672 divisors, whose sum is σ = 1194195475968. Its totient is φ = 84337459200.

The previous prime is 342981127103. The next prime is 342981127109. The reversal of 342981127104 is 401721189243.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342981127103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 919520262 + ... + 919520634.

Almost surely, 2^342981127104 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 342981127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597097737984).

342981127104 is an abundant number, since it is smaller than the sum of its proper divisors (851214348864).

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

342981127104 is a wasteful number, since it uses less digits than its factorization.

342981127104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 342981127104 in words is "three hundred forty-two billion, nine hundred eighty-one million, one hundred twenty-seven thousand, one hundred four".