342054951420 has 768 divisors, whose sum is σ = 1272238571520. Its totient is φ = 66662092800.

The previous prime is 342054951397. The next prime is 342054951431. The reversal of 342054951420 is 24159450243.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 255 ways as a sum of consecutive naturals, for example, 1208674599 + ... + 1208674881.

It is an arithmetic number, because the mean of its divisors is an integer number (1656560640).

Almost surely, 2^342054951420 is an apocalyptic number.

342054951420 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 342054951420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636119285760).

342054951420 is an abundant number, since it is smaller than the sum of its proper divisors (930183620100).

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

342054951420 is a wasteful number, since it uses less digits than its factorization.

342054951420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 342054951420 in words is "three hundred forty-two billion, fifty-four million, nine hundred fifty-one thousand, four hundred twenty".