340134490440 has 160 divisors (see below), whose sum is σ = 1148138929080. Its totient is φ = 90313049088.

The previous prime is 340134490427. The next prime is 340134490471. The reversal of 340134490440 is 44094431043.

340134490440 is a `hidden beast` number, since 3 + 40 + 134 + 49 + 0 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154954024164 + 185180466276 = 393642^2 + 430326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340134490395 and 340134490404.

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 39 ways as a sum of consecutive naturals, for example, 529642 + ... + 980198.

Almost surely, 2^340134490440 is an apocalyptic number.

340134490440 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 340134490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574069464540).

340134490440 is an abundant number, since it is smaller than the sum of its proper divisors (808004438640).

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

340134490440 is a wasteful number, since it uses less digits than its factorization.

340134490440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450813 (or 450800 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 340134490440 in words is "three hundred forty billion, one hundred thirty-four million, four hundred ninety thousand, four hundred forty".