340919341560 has 640 divisors, whose sum is σ = 1392052147200. Its totient is φ = 73096888320.

The previous prime is 340919341547. The next prime is 340919341577. The reversal of 340919341560 is 65143919043.

340919341560 is a `hidden beast` number, since 3 + 4 + 0 + 91 + 93 + 415 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44380920 + ... + 44388600.

It is an arithmetic number, because the mean of its divisors is an integer number (2175081480).

Almost surely, 2^340919341560 is an apocalyptic number.

340919341560 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 340919341560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696026073600).

340919341560 is an abundant number, since it is smaller than the sum of its proper divisors (1051132805640).

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

340919341560 is a wasteful number, since it uses less digits than its factorization.

340919341560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 340919341560 in words is "three hundred forty billion, nine hundred nineteen million, three hundred forty-one thousand, five hundred sixty".