341816815105920 has 3840 divisors, whose sum is σ = 1587973362877440. Its totient is φ = 68056547328000.

The previous prime is 341816815105907. The next prime is 341816815105943. The reversal of 341816815105920 is 29501518618143.

341816815105920 is a `hidden beast` number, since 3 + 4 + 18 + 1 + 68 + 1 + 510 + 59 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 387987303880 + ... + 387987304760.

It is an arithmetic number, because the mean of its divisors is an integer number (413534729916).

Almost surely, 2^{341816815105920} is an apocalyptic number.

341816815105920 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 341816815105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793986681438720).

341816815105920 is an abundant number, since it is smaller than the sum of its proper divisors (1246156547771520).

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

341816815105920 is a wasteful number, since it uses less digits than its factorization.

341816815105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 341816815105920 in words is "three hundred forty-one trillion, eight hundred sixteen billion, eight hundred fifteen million, one hundred five thousand, nine hundred twenty".