342860154474240 has 1728 divisors, whose sum is σ = 1329558496680960. Its totient is φ = 81006003486720.

The previous prime is 342860154474239. The next prime is 342860154474287. The reversal of 342860154474240 is 42474451068243.

342860154474240 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 6 + 0 + 1 + 544 + 74 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 365912651052 + ... + 365912651988.

It is an arithmetic number, because the mean of its divisors is an integer number (769420426320).

Almost surely, 2^{342860154474240} is an apocalyptic number.

342860154474240 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 342860154474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664779248340480).

342860154474240 is an abundant number, since it is smaller than the sum of its proper divisors (986698342206720).

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

342860154474240 is a wasteful number, since it uses less digits than its factorization.

342860154474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 342860154474240 in words is "three hundred forty-two trillion, eight hundred sixty billion, one hundred fifty-four million, four hundred seventy-four thousand, two hundred forty".